>>105369142IIRC, Sato was a literal titan of industry and robber baron who made his fortune off machines, while building weapons for an extremist group. He's pretty much Avatar's equivalent to Henry Ford and Mitsubishi.
Su Yin on the other hand was a spoiled rich kid who got lucky due to connections with her mom as chief of police, and grandparents who'll do anything to support her financially.
The only debatable rich person is Asami since she didn't make any money until Season Four, collaborating with Raiko to redevelop Republic City. I can only assume she inherited her father's wealth and company, and was money saavy aside from almost handing the company over to Varrick.