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Finding the Fourth Proportional to 474,542.28, 711,791.28 and 137,572.92

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Solution

The fourth proportional to 474,542.28, 711,791.28 and 137,572.92 is: 206,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,542.28 : 711,791.28 = 137,572.92 : x
  2. Step 2: Convert to fraction form
    474,542.28/711,791.28 = 137,572.92/x
  3. Step 3: Cross multiply
    474,542.28x = 711,791.28 × 137,572.92
  4. Step 4: Simplify right side
    474,542.28x = 97,923,204,820.14
  5. Step 5: Solve for x
    x = 97,923,204,820.14/474,542.28
  6. Step 6: Final answer
    x = 206,352.96

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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.