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Finding the Fourth Proportional to 462,488.80, 693,862.80 and 225,839.20

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Solution

The fourth proportional to 462,488.80, 693,862.80 and 225,839.20 is: 338,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,488.80 : 693,862.80 = 225,839.20 : x
  2. Step 2: Convert to fraction form
    462,488.80/693,862.80 = 225,839.20/x
  3. Step 3: Cross multiply
    462,488.80x = 693,862.80 × 225,839.20
  4. Step 4: Simplify right side
    462,488.80x = 156,701,419,661.76
  5. Step 5: Solve for x
    x = 156,701,419,661.76/462,488.80
  6. Step 6: Final answer
    x = 338,822.09

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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.