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Finding the Fourth Proportional to 409,920.30, 614,585.16 and 276,469.56

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Solution

The fourth proportional to 409,920.30, 614,585.16 and 276,469.56 is: 414,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,920.30 : 614,585.16 = 276,469.56 : x
  2. Step 2: Convert to fraction form
    409,920.30/614,585.16 = 276,469.56/x
  3. Step 3: Cross multiply
    409,920.30x = 614,585.16 × 276,469.56
  4. Step 4: Simplify right side
    409,920.30x = 169,914,088,767.73
  5. Step 5: Solve for x
    x = 169,914,088,767.73/409,920.30
  6. Step 6: Final answer
    x = 414,505.18

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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.