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Finding the Fourth Proportional to 442,806.20, 664,209.30 and 253,193.30

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Solution

The fourth proportional to 442,806.20, 664,209.30 and 253,193.30 is: 379,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.20 : 664,209.30 = 253,193.30 : x
  2. Step 2: Convert to fraction form
    442,806.20/664,209.30 = 253,193.30/x
  3. Step 3: Cross multiply
    442,806.20x = 664,209.30 × 253,193.30
  4. Step 4: Simplify right side
    442,806.20x = 168,173,344,557.69
  5. Step 5: Solve for x
    x = 168,173,344,557.69/442,806.20
  6. Step 6: Final answer
    x = 379,789.95

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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.