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Finding the Fourth Proportional to 498,367.87, 747,562.41 and 178,540.56

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Solution

The fourth proportional to 498,367.87, 747,562.41 and 178,540.56 is: 267,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,367.87 : 747,562.41 = 178,540.56 : x
  2. Step 2: Convert to fraction form
    498,367.87/747,562.41 = 178,540.56/x
  3. Step 3: Cross multiply
    498,367.87x = 747,562.41 × 178,540.56
  4. Step 4: Simplify right side
    498,367.87x = 133,470,211,316.35
  5. Step 5: Solve for x
    x = 133,470,211,316.35/498,367.87
  6. Step 6: Final answer
    x = 267,814.64

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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.