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Finding the Fourth Proportional to 312,786.25, 432,003.75 and 205,833.75

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Solution

The fourth proportional to 312,786.25, 432,003.75 and 205,833.75 is: 284,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,786.25 : 432,003.75 = 205,833.75 : x
  2. Step 2: Convert to fraction form
    312,786.25/432,003.75 = 205,833.75/x
  3. Step 3: Cross multiply
    312,786.25x = 432,003.75 × 205,833.75
  4. Step 4: Simplify right side
    312,786.25x = 88,920,948,687.38
  5. Step 5: Solve for x
    x = 88,920,948,687.38/312,786.25
  6. Step 6: Final answer
    x = 284,286.63

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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.