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Finding the Fourth Proportional to 397,103.63, 595,729.24 and 130,882.85

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Solution

The fourth proportional to 397,103.63, 595,729.24 and 130,882.85 is: 196,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,103.63 : 595,729.24 = 130,882.85 : x
  2. Step 2: Convert to fraction form
    397,103.63/595,729.24 = 130,882.85/x
  3. Step 3: Cross multiply
    397,103.63x = 595,729.24 × 130,882.85
  4. Step 4: Simplify right side
    397,103.63x = 77,970,740,759.53
  5. Step 5: Solve for x
    x = 77,970,740,759.53/397,103.63
  6. Step 6: Final answer
    x = 196,348.60

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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.