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Finding the Fourth Proportional to 442,750.20, 663,995.70 and 158,407.80

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Solution

The fourth proportional to 442,750.20, 663,995.70 and 158,407.80 is: 237,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,750.20 : 663,995.70 = 158,407.80 : x
  2. Step 2: Convert to fraction form
    442,750.20/663,995.70 = 158,407.80/x
  3. Step 3: Cross multiply
    442,750.20x = 663,995.70 × 158,407.80
  4. Step 4: Simplify right side
    442,750.20x = 105,182,098,046.46
  5. Step 5: Solve for x
    x = 105,182,098,046.46/442,750.20
  6. Step 6: Final answer
    x = 237,565.33

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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.