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Finding the Fourth Proportional to 321,757.76, 444,025.76 and 178,517.46

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Solution

The fourth proportional to 321,757.76, 444,025.76 and 178,517.46 is: 246,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,757.76 : 444,025.76 = 178,517.46 : x
  2. Step 2: Convert to fraction form
    321,757.76/444,025.76 = 178,517.46/x
  3. Step 3: Cross multiply
    321,757.76x = 444,025.76 × 178,517.46
  4. Step 4: Simplify right side
    321,757.76x = 79,266,350,849.77
  5. Step 5: Solve for x
    x = 79,266,350,849.77/321,757.76
  6. Step 6: Final answer
    x = 246,354.12

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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.