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Finding the Fourth Proportional to 327,422.97, 451,803.29 and 206,518.59

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Solution

The fourth proportional to 327,422.97, 451,803.29 and 206,518.59 is: 284,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,422.97 : 451,803.29 = 206,518.59 : x
  2. Step 2: Convert to fraction form
    327,422.97/451,803.29 = 206,518.59/x
  3. Step 3: Cross multiply
    327,422.97x = 451,803.29 × 206,518.59
  4. Step 4: Simplify right side
    327,422.97x = 93,305,777,375.57
  5. Step 5: Solve for x
    x = 93,305,777,375.57/327,422.97
  6. Step 6: Final answer
    x = 284,970.16

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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.