Afghanistan is sitting at around $500/capita. Russia and the US have completely failed there despite four decades of conflict. Vietnam was about $60-70 during the tail end of the Vietnam War[1]. We know how that ended.
I'd say that maybe you could win if you abandoned traditional war tactics and just bombed indiscriminately and avoided suffering too many casualties, but, well, that was tried and failed in those wars. You also wouldn't want to try it against a country that can and will fire back.
So you might understand why my trust in those numbers to mean anything is rather lacking.
I'm not sure how modern Russia and China fare in this regard, compared to each other or to Western powers. Both countries have definitely showed signs in the past decade or so of trying to push through military reforms and adding more junior officers compared to senior officers.
[1] Classic case study: first Gulf War, where the casualty ratio was a lopsided 100:1, despite the Iraqi military having rough numerical parity and access to modern kit.
[1] https://en.wikipedia.org/wiki/Defense_industry_of_Israel
[2] https://en.wikipedia.org/wiki/Defense_industry_of_Russia
[3] https://en.wikipedia.org/wiki/Arms_industry#World's_largest_...
[1] https://en.wikipedia.org/wiki/List_of_countries_by_military_...
[2] https://en.wikipedia.org/wiki/List_of_states_with_nuclear_we...
[3] https://en.wikipedia.org/wiki/List_of_countries_by_GDP_(nomi...