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Finding the Fourth Proportional to 299,687.60, 413,817.72 and 199,540.40

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Solution

The fourth proportional to 299,687.60, 413,817.72 and 199,540.40 is: 275,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,687.60 : 413,817.72 = 199,540.40 : x
  2. Step 2: Convert to fraction form
    299,687.60/413,817.72 = 199,540.40/x
  3. Step 3: Cross multiply
    299,687.60x = 413,817.72 × 199,540.40
  4. Step 4: Simplify right side
    299,687.60x = 82,573,353,375.89
  5. Step 5: Solve for x
    x = 82,573,353,375.89/299,687.60
  6. Step 6: Final answer
    x = 275,531.43

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1.5x scale

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.