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Finding the Fourth Proportional to 498,390.50, 747,578.70 and 232,002.02

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Solution

The fourth proportional to 498,390.50, 747,578.70 and 232,002.02 is: 347,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,390.50 : 747,578.70 = 232,002.02 : x
  2. Step 2: Convert to fraction form
    498,390.50/747,578.70 = 232,002.02/x
  3. Step 3: Cross multiply
    498,390.50x = 747,578.70 × 232,002.02
  4. Step 4: Simplify right side
    498,390.50x = 173,439,768,508.97
  5. Step 5: Solve for x
    x = 173,439,768,508.97/498,390.50
  6. Step 6: Final answer
    x = 347,999.75

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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.