Final answer:
Hong Taiji, who founded the Qing Dynasty, ousted the Chinese Ming Dynasty by gaining support from disenchanted Chinese officials and seizing control of Beijing with the help of Ming general Wu Sangui in 1644.
Step-by-step explanation:
The figure who "arose to oust the Chinese for good" in a historical context was Hong Taiji, the son of Nurhaci. Following his father's death in 1626, Hong Taiji established the Qing Dynasty, succeeding the Ming Dynasty. Hong Taiji and his forces managed to gain control through both military conquest and strategic alliances, incorporating disenchanted Chinese officials by adopting Chinese forms of administration.
A key moment was when Ming general Wu Sangui allowed Manchu armies through the Great Wall, leading to the fall of Beijing to the Qing forces in 1644 and eventually to the complete control of China by the Manchu by 1683.