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Finding the Fourth Proportional to 472,202.43, 708,404.88 and 152,372.52

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Solution

The fourth proportional to 472,202.43, 708,404.88 and 152,372.52 is: 228,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,202.43 : 708,404.88 = 152,372.52 : x
  2. Step 2: Convert to fraction form
    472,202.43/708,404.88 = 152,372.52/x
  3. Step 3: Cross multiply
    472,202.43x = 708,404.88 × 152,372.52
  4. Step 4: Simplify right side
    472,202.43x = 107,941,436,745.90
  5. Step 5: Solve for x
    x = 107,941,436,745.90/472,202.43
  6. Step 6: Final answer
    x = 228,591.45

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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.