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Finding the Fourth Proportional to 297,711.23, 410,846.16 and 161,747.87

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Solution

The fourth proportional to 297,711.23, 410,846.16 and 161,747.87 is: 223,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,711.23 : 410,846.16 = 161,747.87 : x
  2. Step 2: Convert to fraction form
    297,711.23/410,846.16 = 161,747.87/x
  3. Step 3: Cross multiply
    297,711.23x = 410,846.16 × 161,747.87
  4. Step 4: Simplify right side
    297,711.23x = 66,453,491,277.68
  5. Step 5: Solve for x
    x = 66,453,491,277.68/297,711.23
  6. Step 6: Final answer
    x = 223,214.59

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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.