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Finding the Fourth Proportional to 422,961.31, 634,608.02 and 186,137.86

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Solution

The fourth proportional to 422,961.31, 634,608.02 and 186,137.86 is: 279,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,961.31 : 634,608.02 = 186,137.86 : x
  2. Step 2: Convert to fraction form
    422,961.31/634,608.02 = 186,137.86/x
  3. Step 3: Cross multiply
    422,961.31x = 634,608.02 × 186,137.86
  4. Step 4: Simplify right side
    422,961.31x = 118,124,578,781.64
  5. Step 5: Solve for x
    x = 118,124,578,781.64/422,961.31
  6. Step 6: Final answer
    x = 279,279.87

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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.