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Finding the Fourth Proportional to 442,967.20, 664,321.20 and 158,624.80

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Solution

The fourth proportional to 442,967.20, 664,321.20 and 158,624.80 is: 237,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,967.20 : 664,321.20 = 158,624.80 : x
  2. Step 2: Convert to fraction form
    442,967.20/664,321.20 = 158,624.80/x
  3. Step 3: Cross multiply
    442,967.20x = 664,321.20 × 158,624.80
  4. Step 4: Simplify right side
    442,967.20x = 105,377,817,485.76
  5. Step 5: Solve for x
    x = 105,377,817,485.76/442,967.20
  6. Step 6: Final answer
    x = 237,890.79

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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.