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Finding the Fourth Proportional to 287,115.84, 396,213.12 and 159,788.70

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Solution

The fourth proportional to 287,115.84, 396,213.12 and 159,788.70 is: 220,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,115.84 : 396,213.12 = 159,788.70 : x
  2. Step 2: Convert to fraction form
    287,115.84/396,213.12 = 159,788.70/x
  3. Step 3: Cross multiply
    287,115.84x = 396,213.12 × 159,788.70
  4. Step 4: Simplify right side
    287,115.84x = 63,310,379,367.74
  5. Step 5: Solve for x
    x = 63,310,379,367.74/287,115.84
  6. Step 6: Final answer
    x = 220,504.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.