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Finding the Fourth Proportional to 511,965.20, 766,968.60 and 275,229.20

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Solution

The fourth proportional to 511,965.20, 766,968.60 and 275,229.20 is: 412,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,965.20 : 766,968.60 = 275,229.20 : x
  2. Step 2: Convert to fraction form
    511,965.20/766,968.60 = 275,229.20/x
  3. Step 3: Cross multiply
    511,965.20x = 766,968.60 × 275,229.20
  4. Step 4: Simplify right side
    511,965.20x = 211,092,154,203.12
  5. Step 5: Solve for x
    x = 211,092,154,203.12/511,965.20
  6. Step 6: Final answer
    x = 412,317.39

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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.