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Finding the Fourth Proportional to 327,029.38, 451,019.53 and 212,194.90

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Solution

The fourth proportional to 327,029.38, 451,019.53 and 212,194.90 is: 292,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,029.38 : 451,019.53 = 212,194.90 : x
  2. Step 2: Convert to fraction form
    327,029.38/451,019.53 = 212,194.90/x
  3. Step 3: Cross multiply
    327,029.38x = 451,019.53 × 212,194.90
  4. Step 4: Simplify right side
    327,029.38x = 95,704,044,066.40
  5. Step 5: Solve for x
    x = 95,704,044,066.40/327,029.38
  6. Step 6: Final answer
    x = 292,646.62

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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.