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Finding the Fourth Proportional to 327,339.12, 451,790 and 204,888.28

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Solution

The fourth proportional to 327,339.12, 451,790 and 204,888.28 is: 282,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,339.12 : 451,790 = 204,888.28 : x
  2. Step 2: Convert to fraction form
    327,339.12/451,790 = 204,888.28/x
  3. Step 3: Cross multiply
    327,339.12x = 451,790 × 204,888.28
  4. Step 4: Simplify right side
    327,339.12x = 92,566,476,021.20
  5. Step 5: Solve for x
    x = 92,566,476,021.20/327,339.12
  6. Step 6: Final answer
    x = 282,784.64

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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.