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Finding the Fourth Proportional to 322,380.50, 444,889.71 and 177,199.71

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Solution

The fourth proportional to 322,380.50, 444,889.71 and 177,199.71 is: 244,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,380.50 : 444,889.71 = 177,199.71 : x
  2. Step 2: Convert to fraction form
    322,380.50/444,889.71 = 177,199.71/x
  3. Step 3: Cross multiply
    322,380.50x = 444,889.71 × 177,199.71
  4. Step 4: Simplify right side
    322,380.50x = 78,834,326,960.85
  5. Step 5: Solve for x
    x = 78,834,326,960.85/322,380.50
  6. Step 6: Final answer
    x = 244,538.14

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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.