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Finding the Fourth Proportional to 464,793.92, 697,216.96 and 132,344

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Solution

The fourth proportional to 464,793.92, 697,216.96 and 132,344 is: 198,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,793.92 : 697,216.96 = 132,344 : x
  2. Step 2: Convert to fraction form
    464,793.92/697,216.96 = 132,344/x
  3. Step 3: Cross multiply
    464,793.92x = 697,216.96 × 132,344
  4. Step 4: Simplify right side
    464,793.92x = 92,272,481,354.24
  5. Step 5: Solve for x
    x = 92,272,481,354.24/464,793.92
  6. Step 6: Final answer
    x = 198,523.43

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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.