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Finding the Fourth Proportional to 327,274.54, 451,694.30 and 189,433.48

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Solution

The fourth proportional to 327,274.54, 451,694.30 and 189,433.48 is: 261,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,274.54 : 451,694.30 = 189,433.48 : x
  2. Step 2: Convert to fraction form
    327,274.54/451,694.30 = 189,433.48/x
  3. Step 3: Cross multiply
    327,274.54x = 451,694.30 × 189,433.48
  4. Step 4: Simplify right side
    327,274.54x = 85,566,023,145.16
  5. Step 5: Solve for x
    x = 85,566,023,145.16/327,274.54
  6. Step 6: Final answer
    x = 261,450.29

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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.