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Finding the Fourth Proportional to 297,768.29, 410,920.50 and 161,803.73

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Solution

The fourth proportional to 297,768.29, 410,920.50 and 161,803.73 is: 223,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,768.29 : 410,920.50 = 161,803.73 : x
  2. Step 2: Convert to fraction form
    297,768.29/410,920.50 = 161,803.73/x
  3. Step 3: Cross multiply
    297,768.29x = 410,920.50 × 161,803.73
  4. Step 4: Simplify right side
    297,768.29x = 66,488,469,633.47
  5. Step 5: Solve for x
    x = 66,488,469,633.47/297,768.29
  6. Step 6: Final answer
    x = 223,289.29

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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.