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Finding the Fourth Proportional to 327,305.86, 451,642.41 and 182,077.32

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Solution

The fourth proportional to 327,305.86, 451,642.41 and 182,077.32 is: 251,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,305.86 : 451,642.41 = 182,077.32 : x
  2. Step 2: Convert to fraction form
    327,305.86/451,642.41 = 182,077.32/x
  3. Step 3: Cross multiply
    327,305.86x = 451,642.41 × 182,077.32
  4. Step 4: Simplify right side
    327,305.86x = 82,233,841,304.80
  5. Step 5: Solve for x
    x = 82,233,841,304.80/327,305.86
  6. Step 6: Final answer
    x = 251,244.64

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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.