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Finding the Fourth Proportional to 610,572.38, 842,640.22 and 338,727.78

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Solution

The fourth proportional to 610,572.38, 842,640.22 and 338,727.78 is: 467,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,572.38 : 842,640.22 = 338,727.78 : x
  2. Step 2: Convert to fraction form
    610,572.38/842,640.22 = 338,727.78/x
  3. Step 3: Cross multiply
    610,572.38x = 842,640.22 × 338,727.78
  4. Step 4: Simplify right side
    610,572.38x = 285,425,651,059.31
  5. Step 5: Solve for x
    x = 285,425,651,059.31/610,572.38
  6. Step 6: Final answer
    x = 467,472.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.