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Finding the Fourth Proportional to 498,925.92, 747,866.16 and 232,466.70

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Solution

The fourth proportional to 498,925.92, 747,866.16 and 232,466.70 is: 348,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,925.92 : 747,866.16 = 232,466.70 : x
  2. Step 2: Convert to fraction form
    498,925.92/747,866.16 = 232,466.70/x
  3. Step 3: Cross multiply
    498,925.92x = 747,866.16 × 232,466.70
  4. Step 4: Simplify right side
    498,925.92x = 173,853,978,256.87
  5. Step 5: Solve for x
    x = 173,853,978,256.87/498,925.92
  6. Step 6: Final answer
    x = 348,456.50

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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.