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Finding the Fourth Proportional to 322,213.28, 444,654.46 and 178,986.68

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Solution

The fourth proportional to 322,213.28, 444,654.46 and 178,986.68 is: 247,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,213.28 : 444,654.46 = 178,986.68 : x
  2. Step 2: Convert to fraction form
    322,213.28/444,654.46 = 178,986.68/x
  3. Step 3: Cross multiply
    322,213.28x = 444,654.46 × 178,986.68
  4. Step 4: Simplify right side
    322,213.28x = 79,587,225,542.59
  5. Step 5: Solve for x
    x = 79,587,225,542.59/322,213.28
  6. Step 6: Final answer
    x = 247,001.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.