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Finding the Fourth Proportional to 512,304.60, 706,951.02 and 285,964.44

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Solution

The fourth proportional to 512,304.60, 706,951.02 and 285,964.44 is: 394,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,304.60 : 706,951.02 = 285,964.44 : x
  2. Step 2: Convert to fraction form
    512,304.60/706,951.02 = 285,964.44/x
  3. Step 3: Cross multiply
    512,304.60x = 706,951.02 × 285,964.44
  4. Step 4: Simplify right side
    512,304.60x = 202,162,852,541.73
  5. Step 5: Solve for x
    x = 202,162,852,541.73/512,304.60
  6. Step 6: Final answer
    x = 394,614.56

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