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Finding the Fourth Proportional to 297,645.52, 410,758.23 and 161,679.43

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Solution

The fourth proportional to 297,645.52, 410,758.23 and 161,679.43 is: 223,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,645.52 : 410,758.23 = 161,679.43 : x
  2. Step 2: Convert to fraction form
    297,645.52/410,758.23 = 161,679.43/x
  3. Step 3: Cross multiply
    297,645.52x = 410,758.23 × 161,679.43
  4. Step 4: Simplify right side
    297,645.52x = 66,411,156,494.21
  5. Step 5: Solve for x
    x = 66,411,156,494.21/297,645.52
  6. Step 6: Final answer
    x = 223,121.64

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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.