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Finding the Fourth Proportional to 398,494.72, 597,793.86 and 161,845.12

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Solution

The fourth proportional to 398,494.72, 597,793.86 and 161,845.12 is: 242,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,494.72 : 597,793.86 = 161,845.12 : x
  2. Step 2: Convert to fraction form
    398,494.72/597,793.86 = 161,845.12/x
  3. Step 3: Cross multiply
    398,494.72x = 597,793.86 × 161,845.12
  4. Step 4: Simplify right side
    398,494.72x = 96,750,019,006.96
  5. Step 5: Solve for x
    x = 96,750,019,006.96/398,494.72
  6. Step 6: Final answer
    x = 242,788.71

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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.