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Finding the Fourth Proportional to 442,773.08, 664,110.40 and 158,452.16

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Solution

The fourth proportional to 442,773.08, 664,110.40 and 158,452.16 is: 237,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,773.08 : 664,110.40 = 158,452.16 : x
  2. Step 2: Convert to fraction form
    442,773.08/664,110.40 = 158,452.16/x
  3. Step 3: Cross multiply
    442,773.08x = 664,110.40 × 158,452.16
  4. Step 4: Simplify right side
    442,773.08x = 105,229,727,358.46
  5. Step 5: Solve for x
    x = 105,229,727,358.46/442,773.08
  6. Step 6: Final answer
    x = 237,660.63

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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.