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Finding the Fourth Proportional to 322,743.14, 445,079.84 and 206,493.39

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Solution

The fourth proportional to 322,743.14, 445,079.84 and 206,493.39 is: 284,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,743.14 : 445,079.84 = 206,493.39 : x
  2. Step 2: Convert to fraction form
    322,743.14/445,079.84 = 206,493.39/x
  3. Step 3: Cross multiply
    322,743.14x = 445,079.84 × 206,493.39
  4. Step 4: Simplify right side
    322,743.14x = 91,906,045,090.11
  5. Step 5: Solve for x
    x = 91,906,045,090.11/322,743.14
  6. Step 6: Final answer
    x = 284,765.29

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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.