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Finding the Fourth Proportional to 297,204.85, 410,142.65 and 169,883.18

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Solution

The fourth proportional to 297,204.85, 410,142.65 and 169,883.18 is: 234,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,204.85 : 410,142.65 = 169,883.18 : x
  2. Step 2: Convert to fraction form
    297,204.85/410,142.65 = 169,883.18/x
  3. Step 3: Cross multiply
    297,204.85x = 410,142.65 × 169,883.18
  4. Step 4: Simplify right side
    297,204.85x = 69,676,334,735.50
  5. Step 5: Solve for x
    x = 69,676,334,735.50/297,204.85
  6. Step 6: Final answer
    x = 234,438.76

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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.