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Finding the Fourth Proportional to 331,610.66, 497,512.85 and 106,966.11

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Solution

The fourth proportional to 331,610.66, 497,512.85 and 106,966.11 is: 160,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,610.66 : 497,512.85 = 106,966.11 : x
  2. Step 2: Convert to fraction form
    331,610.66/497,512.85 = 106,966.11/x
  3. Step 3: Cross multiply
    331,610.66x = 497,512.85 × 106,966.11
  4. Step 4: Simplify right side
    331,610.66x = 53,217,013,704.68
  5. Step 5: Solve for x
    x = 53,217,013,704.68/331,610.66
  6. Step 6: Final answer
    x = 160,480.41

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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.