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Finding the Fourth Proportional to 442,753.11, 664,395.75 and 158,421.24

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Solution

The fourth proportional to 442,753.11, 664,395.75 and 158,421.24 is: 237,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,753.11 : 664,395.75 = 158,421.24 : x
  2. Step 2: Convert to fraction form
    442,753.11/664,395.75 = 158,421.24/x
  3. Step 3: Cross multiply
    442,753.11x = 664,395.75 × 158,421.24
  4. Step 4: Simplify right side
    442,753.11x = 105,254,398,565.73
  5. Step 5: Solve for x
    x = 105,254,398,565.73/442,753.11
  6. Step 6: Final answer
    x = 237,727.07

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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.