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Finding the Fourth Proportional to 654,718.44, 982,317.53 and 275,734.56

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Solution

The fourth proportional to 654,718.44, 982,317.53 and 275,734.56 is: 413,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,718.44 : 982,317.53 = 275,734.56 : x
  2. Step 2: Convert to fraction form
    654,718.44/982,317.53 = 275,734.56/x
  3. Step 3: Cross multiply
    654,718.44x = 982,317.53 × 275,734.56
  4. Step 4: Simplify right side
    654,718.44x = 270,858,890,536.16
  5. Step 5: Solve for x
    x = 270,858,890,536.16/654,718.44
  6. Step 6: Final answer
    x = 413,702.86

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Why These Related Problems?

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