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Finding the Fourth Proportional to 422,876.22, 634,316.46 and 107,333.23

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Solution

The fourth proportional to 422,876.22, 634,316.46 and 107,333.23 is: 161,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,876.22 : 634,316.46 = 107,333.23 : x
  2. Step 2: Convert to fraction form
    422,876.22/634,316.46 = 107,333.23/x
  3. Step 3: Cross multiply
    422,876.22x = 634,316.46 × 107,333.23
  4. Step 4: Simplify right side
    422,876.22x = 68,083,234,493.97
  5. Step 5: Solve for x
    x = 68,083,234,493.97/422,876.22
  6. Step 6: Final answer
    x = 161,000.39

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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.