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Finding the Fourth Proportional to 274,695.40, 411,351.90 and 180,692.20

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Solution

The fourth proportional to 274,695.40, 411,351.90 and 180,692.20 is: 270,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,695.40 : 411,351.90 = 180,692.20 : x
  2. Step 2: Convert to fraction form
    274,695.40/411,351.90 = 180,692.20/x
  3. Step 3: Cross multiply
    274,695.40x = 411,351.90 × 180,692.20
  4. Step 4: Simplify right side
    274,695.40x = 74,328,079,785.18
  5. Step 5: Solve for x
    x = 74,328,079,785.18/274,695.40
  6. Step 6: Final answer
    x = 270,583.63

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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.