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Finding the Fourth Proportional to 274,517.42, 411,847.11 and 160,761.30

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Solution

The fourth proportional to 274,517.42, 411,847.11 and 160,761.30 is: 241,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,517.42 : 411,847.11 = 160,761.30 : x
  2. Step 2: Convert to fraction form
    274,517.42/411,847.11 = 160,761.30/x
  3. Step 3: Cross multiply
    274,517.42x = 411,847.11 × 160,761.30
  4. Step 4: Simplify right side
    274,517.42x = 66,209,076,804.84
  5. Step 5: Solve for x
    x = 66,209,076,804.84/274,517.42
  6. Step 6: Final answer
    x = 241,183.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.