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Finding the Fourth Proportional to 397,759.25, 596,638.89 and 327,490.94

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Solution

The fourth proportional to 397,759.25, 596,638.89 and 327,490.94 is: 491,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,759.25 : 596,638.89 = 327,490.94 : x
  2. Step 2: Convert to fraction form
    397,759.25/596,638.89 = 327,490.94/x
  3. Step 3: Cross multiply
    397,759.25x = 596,638.89 × 327,490.94
  4. Step 4: Simplify right side
    397,759.25x = 195,393,826,306.01
  5. Step 5: Solve for x
    x = 195,393,826,306.01/397,759.25
  6. Step 6: Final answer
    x = 491,236.42

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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.