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Finding the Fourth Proportional to 498,696.48, 747,545.87 and 178,761.32

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Solution

The fourth proportional to 498,696.48, 747,545.87 and 178,761.32 is: 267,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,696.48 : 747,545.87 = 178,761.32 : x
  2. Step 2: Convert to fraction form
    498,696.48/747,545.87 = 178,761.32/x
  3. Step 3: Cross multiply
    498,696.48x = 747,545.87 × 178,761.32
  4. Step 4: Simplify right side
    498,696.48x = 133,632,286,481.75
  5. Step 5: Solve for x
    x = 133,632,286,481.75/498,696.48
  6. Step 6: Final answer
    x = 267,963.16

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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.