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Finding the Fourth Proportional to 297,766.87, 410,920.88 and 161,800.82

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Solution

The fourth proportional to 297,766.87, 410,920.88 and 161,800.82 is: 223,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,766.87 : 410,920.88 = 161,800.82 : x
  2. Step 2: Convert to fraction form
    297,766.87/410,920.88 = 161,800.82/x
  3. Step 3: Cross multiply
    297,766.87x = 410,920.88 × 161,800.82
  4. Step 4: Simplify right side
    297,766.87x = 66,487,335,339.12
  5. Step 5: Solve for x
    x = 66,487,335,339.12/297,766.87
  6. Step 6: Final answer
    x = 223,286.54

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Why These Related Problems?

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