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Finding the Fourth Proportional to 498,451.78, 747,492.96 and 178,553.80

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Solution

The fourth proportional to 498,451.78, 747,492.96 and 178,553.80 is: 267,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,451.78 : 747,492.96 = 178,553.80 : x
  2. Step 2: Convert to fraction form
    498,451.78/747,492.96 = 178,553.80/x
  3. Step 3: Cross multiply
    498,451.78x = 747,492.96 × 178,553.80
  4. Step 4: Simplify right side
    498,451.78x = 133,467,708,481.25
  5. Step 5: Solve for x
    x = 133,467,708,481.25/498,451.78
  6. Step 6: Final answer
    x = 267,764.53

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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.