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Finding the Fourth Proportional to 498,438.30, 747,657.45 and 232,717.80

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Solution

The fourth proportional to 498,438.30, 747,657.45 and 232,717.80 is: 349,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,438.30 : 747,657.45 = 232,717.80 : x
  2. Step 2: Convert to fraction form
    498,438.30/747,657.45 = 232,717.80/x
  3. Step 3: Cross multiply
    498,438.30x = 747,657.45 × 232,717.80
  4. Step 4: Simplify right side
    498,438.30x = 173,993,196,917.61
  5. Step 5: Solve for x
    x = 173,993,196,917.61/498,438.30
  6. Step 6: Final answer
    x = 349,076.70

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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.