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Finding the Fourth Proportional to 392,122, 588,183 and 96,634

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Solution

The fourth proportional to 392,122, 588,183 and 96,634 is: 144,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,122 : 588,183 = 96,634 : x
  2. Step 2: Convert to fraction form
    392,122/588,183 = 96,634/x
  3. Step 3: Cross multiply
    392,122x = 588,183 × 96,634
  4. Step 4: Simplify right side
    392,122x = 56,838,476,022
  5. Step 5: Solve for x
    x = 56,838,476,022/392,122
  6. Step 6: Final answer
    x = 144,951

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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.