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Finding the Fourth Proportional to 327,343.92, 451,796.68 and 204,893.12

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Solution

The fourth proportional to 327,343.92, 451,796.68 and 204,893.12 is: 282,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,343.92 : 451,796.68 = 204,893.12 : x
  2. Step 2: Convert to fraction form
    327,343.92/451,796.68 = 204,893.12/x
  3. Step 3: Cross multiply
    327,343.92x = 451,796.68 × 204,893.12
  4. Step 4: Simplify right side
    327,343.92x = 92,570,031,370.84
  5. Step 5: Solve for x
    x = 92,570,031,370.84/327,343.92
  6. Step 6: Final answer
    x = 282,791.36

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1.5x scale

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.