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Finding the Fourth Proportional to 391,682, 587,521.56 and 111,199.28

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Solution

The fourth proportional to 391,682, 587,521.56 and 111,199.28 is: 166,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,682 : 587,521.56 = 111,199.28 : x
  2. Step 2: Convert to fraction form
    391,682/587,521.56 = 111,199.28/x
  3. Step 3: Cross multiply
    391,682x = 587,521.56 × 111,199.28
  4. Step 4: Simplify right side
    391,682x = 65,331,974,456.48
  5. Step 5: Solve for x
    x = 65,331,974,456.48/391,682
  6. Step 6: Final answer
    x = 166,798.51

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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.