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Finding the Fourth Proportional to 498,429.80, 747,644.70 and 232,709.30

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Solution

The fourth proportional to 498,429.80, 747,644.70 and 232,709.30 is: 349,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,429.80 : 747,644.70 = 232,709.30 : x
  2. Step 2: Convert to fraction form
    498,429.80/747,644.70 = 232,709.30/x
  3. Step 3: Cross multiply
    498,429.80x = 747,644.70 × 232,709.30
  4. Step 4: Simplify right side
    498,429.80x = 173,983,874,785.71
  5. Step 5: Solve for x
    x = 173,983,874,785.71/498,429.80
  6. Step 6: Final answer
    x = 349,063.95

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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.