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Finding the Fourth Proportional to 307,581.20, 460,853.40 and 149,469.20

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Solution

The fourth proportional to 307,581.20, 460,853.40 and 149,469.20 is: 223,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,581.20 : 460,853.40 = 149,469.20 : x
  2. Step 2: Convert to fraction form
    307,581.20/460,853.40 = 149,469.20/x
  3. Step 3: Cross multiply
    307,581.20x = 460,853.40 × 149,469.20
  4. Step 4: Simplify right side
    307,581.20x = 68,883,389,015.28
  5. Step 5: Solve for x
    x = 68,883,389,015.28/307,581.20
  6. Step 6: Final answer
    x = 223,951.88

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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.