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Finding the Fourth Proportional to 408,749.76, 564,085.44 and 227,473.92

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Solution

The fourth proportional to 408,749.76, 564,085.44 and 227,473.92 is: 313,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,749.76 : 564,085.44 = 227,473.92 : x
  2. Step 2: Convert to fraction form
    408,749.76/564,085.44 = 227,473.92/x
  3. Step 3: Cross multiply
    408,749.76x = 564,085.44 × 227,473.92
  4. Step 4: Simplify right side
    408,749.76x = 128,314,726,251.73
  5. Step 5: Solve for x
    x = 128,314,726,251.73/408,749.76
  6. Step 6: Final answer
    x = 313,920.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.