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Finding the Fourth Proportional to 511,968.85, 706,517.31 and 285,614.35

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Solution

The fourth proportional to 511,968.85, 706,517.31 and 285,614.35 is: 394,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,968.85 : 706,517.31 = 285,614.35 : x
  2. Step 2: Convert to fraction form
    511,968.85/706,517.31 = 285,614.35/x
  3. Step 3: Cross multiply
    511,968.85x = 706,517.31 × 285,614.35
  4. Step 4: Simplify right side
    511,968.85x = 201,791,480,493.11
  5. Step 5: Solve for x
    x = 201,791,480,493.11/511,968.85
  6. Step 6: Final answer
    x = 394,147.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.