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Finding the Fourth Proportional to 307,010.71, 460,565.27 and 129,543.87

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Solution

The fourth proportional to 307,010.71, 460,565.27 and 129,543.87 is: 194,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,010.71 : 460,565.27 = 129,543.87 : x
  2. Step 2: Convert to fraction form
    307,010.71/460,565.27 = 129,543.87/x
  3. Step 3: Cross multiply
    307,010.71x = 460,565.27 × 129,543.87
  4. Step 4: Simplify right side
    307,010.71x = 59,663,407,463.39
  5. Step 5: Solve for x
    x = 59,663,407,463.39/307,010.71
  6. Step 6: Final answer
    x = 194,336.57

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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.