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Finding the Fourth Proportional to 274,570.40, 411,418.20 and 203,711.60

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Solution

The fourth proportional to 274,570.40, 411,418.20 and 203,711.60 is: 305,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,570.40 : 411,418.20 = 203,711.60 : x
  2. Step 2: Convert to fraction form
    274,570.40/411,418.20 = 203,711.60/x
  3. Step 3: Cross multiply
    274,570.40x = 411,418.20 × 203,711.60
  4. Step 4: Simplify right side
    274,570.40x = 83,810,659,791.12
  5. Step 5: Solve for x
    x = 83,810,659,791.12/274,570.40
  6. Step 6: Final answer
    x = 305,242.88

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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.