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Finding the Fourth Proportional to 409,494.26, 614,218.98 and 125,184.66

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Solution

The fourth proportional to 409,494.26, 614,218.98 and 125,184.66 is: 187,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,494.26 : 614,218.98 = 125,184.66 : x
  2. Step 2: Convert to fraction form
    409,494.26/614,218.98 = 125,184.66/x
  3. Step 3: Cross multiply
    409,494.26x = 614,218.98 × 125,184.66
  4. Step 4: Simplify right side
    409,494.26x = 76,890,794,176.85
  5. Step 5: Solve for x
    x = 76,890,794,176.85/409,494.26
  6. Step 6: Final answer
    x = 187,770.14

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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.