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Finding the Fourth Proportional to 398,524.94, 597,657.42 and 132,213.96

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Solution

The fourth proportional to 398,524.94, 597,657.42 and 132,213.96 is: 198,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,524.94 : 597,657.42 = 132,213.96 : x
  2. Step 2: Convert to fraction form
    398,524.94/597,657.42 = 132,213.96/x
  3. Step 3: Cross multiply
    398,524.94x = 597,657.42 × 132,213.96
  4. Step 4: Simplify right side
    398,524.94x = 79,018,654,221.58
  5. Step 5: Solve for x
    x = 79,018,654,221.58/398,524.94
  6. Step 6: Final answer
    x = 198,277.81

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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.