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Finding the Fourth Proportional to 442,847.20, 664,270.80 and 162,473.80

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Solution

The fourth proportional to 442,847.20, 664,270.80 and 162,473.80 is: 243,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,847.20 : 664,270.80 = 162,473.80 : x
  2. Step 2: Convert to fraction form
    442,847.20/664,270.80 = 162,473.80/x
  3. Step 3: Cross multiply
    442,847.20x = 664,270.80 × 162,473.80
  4. Step 4: Simplify right side
    442,847.20x = 107,926,601,105.04
  5. Step 5: Solve for x
    x = 107,926,601,105.04/442,847.20
  6. Step 6: Final answer
    x = 243,710.70

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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.