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Finding the Fourth Proportional to 512,248.40, 768,365.40 and 231,765.20

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Solution

The fourth proportional to 512,248.40, 768,365.40 and 231,765.20 is: 347,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,248.40 : 768,365.40 = 231,765.20 : x
  2. Step 2: Convert to fraction form
    512,248.40/768,365.40 = 231,765.20/x
  3. Step 3: Cross multiply
    512,248.40x = 768,365.40 × 231,765.20
  4. Step 4: Simplify right side
    512,248.40x = 178,080,360,604.08
  5. Step 5: Solve for x
    x = 178,080,360,604.08/512,248.40
  6. Step 6: Final answer
    x = 347,644.54

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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.