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Finding the Fourth Proportional to 392,282.24, 588,424.64 and 107,976.64

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Solution

The fourth proportional to 392,282.24, 588,424.64 and 107,976.64 is: 161,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,282.24 : 588,424.64 = 107,976.64 : x
  2. Step 2: Convert to fraction form
    392,282.24/588,424.64 = 107,976.64/x
  3. Step 3: Cross multiply
    392,282.24x = 588,424.64 × 107,976.64
  4. Step 4: Simplify right side
    392,282.24x = 63,536,115,520.41
  5. Step 5: Solve for x
    x = 63,536,115,520.41/392,282.24
  6. Step 6: Final answer
    x = 161,965.31

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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.