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Finding the Fourth Proportional to 321,884.31, 444,179.66 and 178,644.45

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Solution

The fourth proportional to 321,884.31, 444,179.66 and 178,644.45 is: 246,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,884.31 : 444,179.66 = 178,644.45 : x
  2. Step 2: Convert to fraction form
    321,884.31/444,179.66 = 178,644.45/x
  3. Step 3: Cross multiply
    321,884.31x = 444,179.66 × 178,644.45
  4. Step 4: Simplify right side
    321,884.31x = 79,350,230,168.66
  5. Step 5: Solve for x
    x = 79,350,230,168.66/321,884.31
  6. Step 6: Final answer
    x = 246,517.86

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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.