By Rae Wee SINGAPORE (Reuters) – Asian shares fell broadly on Wednesday, while the Australian dollar slid after surprisingly soft domestic inflation data and short-dated Treasury yields stayed elevated ahead of a rate decision from the Federal Reserve. Chinese markets wobbled after an official factory survey showed China’s manufacturing activity in January contracted for a fourth straight month. MSCI’s broadest index of Asia-Pacific shares outside Japan slid 0.5% and was heading for a monthly loss of 5%, snapping a two-month winning streak. That was in part due to a steep selloff in Chinese ma…