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Finding the Fourth Proportional to 422,523.22, 633,778.82 and 102,677.44

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Solution

The fourth proportional to 422,523.22, 633,778.82 and 102,677.44 is: 154,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,523.22 : 633,778.82 = 102,677.44 : x
  2. Step 2: Convert to fraction form
    422,523.22/633,778.82 = 102,677.44/x
  3. Step 3: Cross multiply
    422,523.22x = 633,778.82 × 102,677.44
  4. Step 4: Simplify right side
    422,523.22x = 65,074,786,763.82
  5. Step 5: Solve for x
    x = 65,074,786,763.82/422,523.22
  6. Step 6: Final answer
    x = 154,014.70

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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.