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Finding the Fourth Proportional to 442,810.20, 664,215.30 and 253,197.30

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Solution

The fourth proportional to 442,810.20, 664,215.30 and 253,197.30 is: 379,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,810.20 : 664,215.30 = 253,197.30 : x
  2. Step 2: Convert to fraction form
    442,810.20/664,215.30 = 253,197.30/x
  3. Step 3: Cross multiply
    442,810.20x = 664,215.30 × 253,197.30
  4. Step 4: Simplify right side
    442,810.20x = 168,177,520,578.69
  5. Step 5: Solve for x
    x = 168,177,520,578.69/442,810.20
  6. Step 6: Final answer
    x = 379,795.95

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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.