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Finding the Fourth Proportional to 274,120.27, 411,133.24 and 74,456.74

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Solution

The fourth proportional to 274,120.27, 411,133.24 and 74,456.74 is: 111,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,120.27 : 411,133.24 = 74,456.74 : x
  2. Step 2: Convert to fraction form
    274,120.27/411,133.24 = 74,456.74/x
  3. Step 3: Cross multiply
    274,120.27x = 411,133.24 × 74,456.74
  4. Step 4: Simplify right side
    274,120.27x = 30,611,640,756.04
  5. Step 5: Solve for x
    x = 30,611,640,756.04/274,120.27
  6. Step 6: Final answer
    x = 111,672.30

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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.