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Finding the Fourth Proportional to 512,310.60, 768,600.30 and 196,777.80

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Solution

The fourth proportional to 512,310.60, 768,600.30 and 196,777.80 is: 295,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,310.60 : 768,600.30 = 196,777.80 : x
  2. Step 2: Convert to fraction form
    512,310.60/768,600.30 = 196,777.80/x
  3. Step 3: Cross multiply
    512,310.60x = 768,600.30 × 196,777.80
  4. Step 4: Simplify right side
    512,310.60x = 151,243,476,113.34
  5. Step 5: Solve for x
    x = 151,243,476,113.34/512,310.60
  6. Step 6: Final answer
    x = 295,218.32

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