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Finding the Fourth Proportional to 392,162, 588,243 and 96,674

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Solution

The fourth proportional to 392,162, 588,243 and 96,674 is: 145,011

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,162 : 588,243 = 96,674 : x
  2. Step 2: Convert to fraction form
    392,162/588,243 = 96,674/x
  3. Step 3: Cross multiply
    392,162x = 588,243 × 96,674
  4. Step 4: Simplify right side
    392,162x = 56,867,803,782
  5. Step 5: Solve for x
    x = 56,867,803,782/392,162
  6. Step 6: Final answer
    x = 145,011

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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.