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Finding the Fourth Proportional to 444,717.14, 667,200.42 and 178,664.49

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Solution

The fourth proportional to 444,717.14, 667,200.42 and 178,664.49 is: 268,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,717.14 : 667,200.42 = 178,664.49 : x
  2. Step 2: Convert to fraction form
    444,717.14/667,200.42 = 178,664.49/x
  3. Step 3: Cross multiply
    444,717.14x = 667,200.42 × 178,664.49
  4. Step 4: Simplify right side
    444,717.14x = 119,205,022,767.09
  5. Step 5: Solve for x
    x = 119,205,022,767.09/444,717.14
  6. Step 6: Final answer
    x = 268,046.84

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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.