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Finding the Fourth Proportional to 305,541.20, 458,311.80 and 226,809.20

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Solution

The fourth proportional to 305,541.20, 458,311.80 and 226,809.20 is: 340,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,541.20 : 458,311.80 = 226,809.20 : x
  2. Step 2: Convert to fraction form
    305,541.20/458,311.80 = 226,809.20/x
  3. Step 3: Cross multiply
    305,541.20x = 458,311.80 × 226,809.20
  4. Step 4: Simplify right side
    305,541.20x = 103,949,332,708.56
  5. Step 5: Solve for x
    x = 103,949,332,708.56/305,541.20
  6. Step 6: Final answer
    x = 340,213.80

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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.