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Finding the Fourth Proportional to 325,714, 449,432.82 and 204,769.60

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Solution

The fourth proportional to 325,714, 449,432.82 and 204,769.60 is: 282,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,714 : 449,432.82 = 204,769.60 : x
  2. Step 2: Convert to fraction form
    325,714/449,432.82 = 204,769.60/x
  3. Step 3: Cross multiply
    325,714x = 449,432.82 × 204,769.60
  4. Step 4: Simplify right side
    325,714x = 92,030,178,778.27
  5. Step 5: Solve for x
    x = 92,030,178,778.27/325,714
  6. Step 6: Final answer
    x = 282,549.04

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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.