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Finding the Fourth Proportional to 498,189.70, 747,296.09 and 178,363.43

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Solution

The fourth proportional to 498,189.70, 747,296.09 and 178,363.43 is: 267,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,189.70 : 747,296.09 = 178,363.43 : x
  2. Step 2: Convert to fraction form
    498,189.70/747,296.09 = 178,363.43/x
  3. Step 3: Cross multiply
    498,189.70x = 747,296.09 × 178,363.43
  4. Step 4: Simplify right side
    498,189.70x = 133,290,289,209.69
  5. Step 5: Solve for x
    x = 133,290,289,209.69/498,189.70
  6. Step 6: Final answer
    x = 267,549.27

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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.