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Finding the Fourth Proportional to 409,771.62, 614,444.18 and 156,976.29

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Solution

The fourth proportional to 409,771.62, 614,444.18 and 156,976.29 is: 235,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,771.62 : 614,444.18 = 156,976.29 : x
  2. Step 2: Convert to fraction form
    409,771.62/614,444.18 = 156,976.29/x
  3. Step 3: Cross multiply
    409,771.62x = 614,444.18 × 156,976.29
  4. Step 4: Simplify right side
    409,771.62x = 96,453,167,003.61
  5. Step 5: Solve for x
    x = 96,453,167,003.61/409,771.62
  6. Step 6: Final answer
    x = 235,382.74

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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.