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Finding the Fourth Proportional to 458,737.60, 687,991.20 and 163,180.48

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Solution

The fourth proportional to 458,737.60, 687,991.20 and 163,180.48 is: 244,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,737.60 : 687,991.20 = 163,180.48 : x
  2. Step 2: Convert to fraction form
    458,737.60/687,991.20 = 163,180.48/x
  3. Step 3: Cross multiply
    458,737.60x = 687,991.20 × 163,180.48
  4. Step 4: Simplify right side
    458,737.60x = 112,266,734,251.78
  5. Step 5: Solve for x
    x = 112,266,734,251.78/458,737.60
  6. Step 6: Final answer
    x = 244,729.74

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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.