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Finding the Fourth Proportional to 322,211.28, 444,651.70 and 178,984.68

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Solution

The fourth proportional to 322,211.28, 444,651.70 and 178,984.68 is: 246,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,211.28 : 444,651.70 = 178,984.68 : x
  2. Step 2: Convert to fraction form
    322,211.28/444,651.70 = 178,984.68/x
  3. Step 3: Cross multiply
    322,211.28x = 444,651.70 × 178,984.68
  4. Step 4: Simplify right side
    322,211.28x = 79,585,842,235.96
  5. Step 5: Solve for x
    x = 79,585,842,235.96/322,211.28
  6. Step 6: Final answer
    x = 246,998.93

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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.