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Finding the Fourth Proportional to 397,562.99, 596,217.31 and 131,273.87

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Solution

The fourth proportional to 397,562.99, 596,217.31 and 131,273.87 is: 196,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,562.99 : 596,217.31 = 131,273.87 : x
  2. Step 2: Convert to fraction form
    397,562.99/596,217.31 = 131,273.87/x
  3. Step 3: Cross multiply
    397,562.99x = 596,217.31 × 131,273.87
  4. Step 4: Simplify right side
    397,562.99x = 78,267,750,335.42
  5. Step 5: Solve for x
    x = 78,267,750,335.42/397,562.99
  6. Step 6: Final answer
    x = 196,868.81

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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.