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Finding the Fourth Proportional to 321,108.32, 442,915.90 and 206,531.96

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Solution

The fourth proportional to 321,108.32, 442,915.90 and 206,531.96 is: 284,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,108.32 : 442,915.90 = 206,531.96 : x
  2. Step 2: Convert to fraction form
    321,108.32/442,915.90 = 206,531.96/x
  3. Step 3: Cross multiply
    321,108.32x = 442,915.90 × 206,531.96
  4. Step 4: Simplify right side
    321,108.32x = 91,476,286,211.25
  5. Step 5: Solve for x
    x = 91,476,286,211.25/321,108.32
  6. Step 6: Final answer
    x = 284,876.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.