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Finding the Fourth Proportional to 274,626.40, 411,248.40 and 180,623.20

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Solution

The fourth proportional to 274,626.40, 411,248.40 and 180,623.20 is: 270,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,626.40 : 411,248.40 = 180,623.20 : x
  2. Step 2: Convert to fraction form
    274,626.40/411,248.40 = 180,623.20/x
  3. Step 3: Cross multiply
    274,626.40x = 411,248.40 × 180,623.20
  4. Step 4: Simplify right side
    274,626.40x = 74,281,002,002.88
  5. Step 5: Solve for x
    x = 74,281,002,002.88/274,626.40
  6. Step 6: Final answer
    x = 270,480.19

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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.