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Finding the Fourth Proportional to 299,693.60, 449,540.40 and 205,215.20

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Solution

The fourth proportional to 299,693.60, 449,540.40 and 205,215.20 is: 307,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.60 : 449,540.40 = 205,215.20 : x
  2. Step 2: Convert to fraction form
    299,693.60/449,540.40 = 205,215.20/x
  3. Step 3: Cross multiply
    299,693.60x = 449,540.40 × 205,215.20
  4. Step 4: Simplify right side
    299,693.60x = 92,252,523,094.08
  5. Step 5: Solve for x
    x = 92,252,523,094.08/299,693.60
  6. Step 6: Final answer
    x = 307,822.80

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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.