Finding the Fourth Proportional to 305,798.96, 458,516.75 and 116,273.19
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Solution
The fourth proportional to 305,798.96, 458,516.75 and 116,273.19 is: 174,340.70
Step by Step Solution
- Step 1: Write the proportion equation
305,798.96 : 458,516.75 = 116,273.19 : x - Step 2: Convert to fraction form
305,798.96/458,516.75 = 116,273.19/x - Step 3: Cross multiply
305,798.96x = 458,516.75 × 116,273.19 - Step 4: Simplify right side
305,798.96x = 53,313,204,609.57 - Step 5: Solve for x
x = 53,313,204,609.57/305,798.96 - Step 6: Final answer
x = 174,340.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.