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Finding the Fourth Proportional to 321,256.38, 443,535.32 and 206,734.01

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Solution

The fourth proportional to 321,256.38, 443,535.32 and 206,734.01 is: 285,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,256.38 : 443,535.32 = 206,734.01 : x
  2. Step 2: Convert to fraction form
    321,256.38/443,535.32 = 206,734.01/x
  3. Step 3: Cross multiply
    321,256.38x = 443,535.32 × 206,734.01
  4. Step 4: Simplify right side
    321,256.38x = 91,693,832,997.95
  5. Step 5: Solve for x
    x = 91,693,832,997.95/321,256.38
  6. Step 6: Final answer
    x = 285,422.61

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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.