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Finding the Fourth Proportional to 297,766.73, 410,920.68 and 161,800.67

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Solution

The fourth proportional to 297,766.73, 410,920.68 and 161,800.67 is: 223,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,766.73 : 410,920.68 = 161,800.67 : x
  2. Step 2: Convert to fraction form
    297,766.73/410,920.68 = 161,800.67/x
  3. Step 3: Cross multiply
    297,766.73x = 410,920.68 × 161,800.67
  4. Step 4: Simplify right side
    297,766.73x = 66,487,241,340.86
  5. Step 5: Solve for x
    x = 66,487,241,340.86/297,766.73
  6. Step 6: Final answer
    x = 223,286.33

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1.5x scale

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.