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Finding the Fourth Proportional to 511,493.27, 705,902.75 and 282,095.43

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Solution

The fourth proportional to 511,493.27, 705,902.75 and 282,095.43 is: 389,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493.27 : 705,902.75 = 282,095.43 : x
  2. Step 2: Convert to fraction form
    511,493.27/705,902.75 = 282,095.43/x
  3. Step 3: Cross multiply
    511,493.27x = 705,902.75 × 282,095.43
  4. Step 4: Simplify right side
    511,493.27x = 199,131,938,388.96
  5. Step 5: Solve for x
    x = 199,131,938,388.96/511,493.27
  6. Step 6: Final answer
    x = 389,314.88

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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.