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Finding the Fourth Proportional to 297,676.44, 410,791.80 and 161,709.30

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Solution

The fourth proportional to 297,676.44, 410,791.80 and 161,709.30 is: 223,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,676.44 : 410,791.80 = 161,709.30 : x
  2. Step 2: Convert to fraction form
    297,676.44/410,791.80 = 161,709.30/x
  3. Step 3: Cross multiply
    297,676.44x = 410,791.80 × 161,709.30
  4. Step 4: Simplify right side
    297,676.44x = 66,428,854,423.74
  5. Step 5: Solve for x
    x = 66,428,854,423.74/297,676.44
  6. Step 6: Final answer
    x = 223,157.92

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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.