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Finding the Fourth Proportional to 327,471.49, 451,874.09 and 184,228.46

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Solution

The fourth proportional to 327,471.49, 451,874.09 and 184,228.46 is: 254,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,471.49 : 451,874.09 = 184,228.46 : x
  2. Step 2: Convert to fraction form
    327,471.49/451,874.09 = 184,228.46/x
  3. Step 3: Cross multiply
    327,471.49x = 451,874.09 × 184,228.46
  4. Step 4: Simplify right side
    327,471.49x = 83,248,067,610.33
  5. Step 5: Solve for x
    x = 83,248,067,610.33/327,471.49
  6. Step 6: Final answer
    x = 254,214.70

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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.