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Finding the Fourth Proportional to 409,546.85, 614,338.70 and 156,761.77

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Solution

The fourth proportional to 409,546.85, 614,338.70 and 156,761.77 is: 235,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,546.85 : 614,338.70 = 156,761.77 : x
  2. Step 2: Convert to fraction form
    409,546.85/614,338.70 = 156,761.77/x
  3. Step 3: Cross multiply
    409,546.85x = 614,338.70 × 156,761.77
  4. Step 4: Simplify right side
    409,546.85x = 96,304,820,847.56
  5. Step 5: Solve for x
    x = 96,304,820,847.56/409,546.85
  6. Step 6: Final answer
    x = 235,149.71

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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.