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Finding the Fourth Proportional to 325,715, 449,434.20 and 204,770.60

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Solution

The fourth proportional to 325,715, 449,434.20 and 204,770.60 is: 282,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,715 : 449,434.20 = 204,770.60 : x
  2. Step 2: Convert to fraction form
    325,715/449,434.20 = 204,770.60/x
  3. Step 3: Cross multiply
    325,715x = 449,434.20 × 204,770.60
  4. Step 4: Simplify right side
    325,715x = 92,030,910,794.52
  5. Step 5: Solve for x
    x = 92,030,910,794.52/325,715
  6. Step 6: Final answer
    x = 282,550.42

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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.