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Finding the Fourth Proportional to 397,177.59, 595,761.20 and 97,660.76

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Solution

The fourth proportional to 397,177.59, 595,761.20 and 97,660.76 is: 146,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,177.59 : 595,761.20 = 97,660.76 : x
  2. Step 2: Convert to fraction form
    397,177.59/595,761.20 = 97,660.76/x
  3. Step 3: Cross multiply
    397,177.59x = 595,761.20 × 97,660.76
  4. Step 4: Simplify right side
    397,177.59x = 58,182,493,771.04
  5. Step 5: Solve for x
    x = 58,182,493,771.04/397,177.59
  6. Step 6: Final answer
    x = 146,489.87

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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.