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Finding the Fourth Proportional to 321,247.40, 443,314.78 and 178,006.16

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Solution

The fourth proportional to 321,247.40, 443,314.78 and 178,006.16 is: 245,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,247.40 : 443,314.78 = 178,006.16 : x
  2. Step 2: Convert to fraction form
    321,247.40/443,314.78 = 178,006.16/x
  3. Step 3: Cross multiply
    321,247.40x = 443,314.78 × 178,006.16
  4. Step 4: Simplify right side
    321,247.40x = 78,912,761,659.04
  5. Step 5: Solve for x
    x = 78,912,761,659.04/321,247.40
  6. Step 6: Final answer
    x = 245,644.83

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