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Finding the Fourth Proportional to 498,422.80, 747,634.20 and 232,702.30

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Solution

The fourth proportional to 498,422.80, 747,634.20 and 232,702.30 is: 349,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,422.80 : 747,634.20 = 232,702.30 : x
  2. Step 2: Convert to fraction form
    498,422.80/747,634.20 = 232,702.30/x
  3. Step 3: Cross multiply
    498,422.80x = 747,634.20 × 232,702.30
  4. Step 4: Simplify right side
    498,422.80x = 173,976,197,898.66
  5. Step 5: Solve for x
    x = 173,976,197,898.66/498,422.80
  6. Step 6: Final answer
    x = 349,053.45

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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.