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Finding the Fourth Proportional to 498,101.94, 747,150.48 and 231,715.62

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Solution

The fourth proportional to 498,101.94, 747,150.48 and 231,715.62 is: 347,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,101.94 : 747,150.48 = 231,715.62 : x
  2. Step 2: Convert to fraction form
    498,101.94/747,150.48 = 231,715.62/x
  3. Step 3: Cross multiply
    498,101.94x = 747,150.48 × 231,715.62
  4. Step 4: Simplify right side
    498,101.94x = 173,126,436,706.50
  5. Step 5: Solve for x
    x = 173,126,436,706.50/498,101.94
  6. Step 6: Final answer
    x = 347,572.30

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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.