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Finding the Fourth Proportional to 512,257.28, 706,981.92 and 285,949.76

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Solution

The fourth proportional to 512,257.28, 706,981.92 and 285,949.76 is: 394,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,257.28 : 706,981.92 = 285,949.76 : x
  2. Step 2: Convert to fraction form
    512,257.28/706,981.92 = 285,949.76/x
  3. Step 3: Cross multiply
    512,257.28x = 706,981.92 × 285,949.76
  4. Step 4: Simplify right side
    512,257.28x = 202,161,310,348.34
  5. Step 5: Solve for x
    x = 202,161,310,348.34/512,257.28
  6. Step 6: Final answer
    x = 394,648.00

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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.