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Finding the Fourth Proportional to 442,854.20, 664,281.30 and 162,480.80

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Solution

The fourth proportional to 442,854.20, 664,281.30 and 162,480.80 is: 243,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854.20 : 664,281.30 = 162,480.80 : x
  2. Step 2: Convert to fraction form
    442,854.20/664,281.30 = 162,480.80/x
  3. Step 3: Cross multiply
    442,854.20x = 664,281.30 × 162,480.80
  4. Step 4: Simplify right side
    442,854.20x = 107,932,957,049.04
  5. Step 5: Solve for x
    x = 107,932,957,049.04/442,854.20
  6. Step 6: Final answer
    x = 243,721.20

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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.