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Finding the Fourth Proportional to 498,143.76, 747,160.16 and 178,282.72

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Solution

The fourth proportional to 498,143.76, 747,160.16 and 178,282.72 is: 267,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,143.76 : 747,160.16 = 178,282.72 : x
  2. Step 2: Convert to fraction form
    498,143.76/747,160.16 = 178,282.72/x
  3. Step 3: Cross multiply
    498,143.76x = 747,160.16 × 178,282.72
  4. Step 4: Simplify right side
    498,143.76x = 133,205,745,600.44
  5. Step 5: Solve for x
    x = 133,205,745,600.44/498,143.76
  6. Step 6: Final answer
    x = 267,404.22

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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.