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Finding the Fourth Proportional to 321,680.43, 443,938.86 and 185,739.21

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Solution

The fourth proportional to 321,680.43, 443,938.86 and 185,739.21 is: 256,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,680.43 : 443,938.86 = 185,739.21 : x
  2. Step 2: Convert to fraction form
    321,680.43/443,938.86 = 185,739.21/x
  3. Step 3: Cross multiply
    321,680.43x = 443,938.86 × 185,739.21
  4. Step 4: Simplify right side
    321,680.43x = 82,456,853,144.70
  5. Step 5: Solve for x
    x = 82,456,853,144.70/321,680.43
  6. Step 6: Final answer
    x = 256,331.58

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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.