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Finding the Fourth Proportional to 498,532.92, 747,642.54 and 161,495.38

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Solution

The fourth proportional to 498,532.92, 747,642.54 and 161,495.38 is: 242,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,532.92 : 747,642.54 = 161,495.38 : x
  2. Step 2: Convert to fraction form
    498,532.92/747,642.54 = 161,495.38/x
  3. Step 3: Cross multiply
    498,532.92x = 747,642.54 × 161,495.38
  4. Step 4: Simplify right side
    498,532.92x = 120,740,815,227.64
  5. Step 5: Solve for x
    x = 120,740,815,227.64/498,532.92
  6. Step 6: Final answer
    x = 242,192.26

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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.