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Finding the Fourth Proportional to 283,711.20, 425,566.80 and 232,972.80

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Solution

The fourth proportional to 283,711.20, 425,566.80 and 232,972.80 is: 349,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,711.20 : 425,566.80 = 232,972.80 : x
  2. Step 2: Convert to fraction form
    283,711.20/425,566.80 = 232,972.80/x
  3. Step 3: Cross multiply
    283,711.20x = 425,566.80 × 232,972.80
  4. Step 4: Simplify right side
    283,711.20x = 99,145,488,983.04
  5. Step 5: Solve for x
    x = 99,145,488,983.04/283,711.20
  6. Step 6: Final answer
    x = 349,459.20

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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.