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Finding the Fourth Proportional to 231,978.60, 347,967.90 and 205,540.20

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Solution

The fourth proportional to 231,978.60, 347,967.90 and 205,540.20 is: 308,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,978.60 : 347,967.90 = 205,540.20 : x
  2. Step 2: Convert to fraction form
    231,978.60/347,967.90 = 205,540.20/x
  3. Step 3: Cross multiply
    231,978.60x = 347,967.90 × 205,540.20
  4. Step 4: Simplify right side
    231,978.60x = 71,521,391,759.58
  5. Step 5: Solve for x
    x = 71,521,391,759.58/231,978.60
  6. Step 6: Final answer
    x = 308,310.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.