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Finding the Fourth Proportional to 397,772.61, 596,658.96 and 327,504.30

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Solution

The fourth proportional to 397,772.61, 596,658.96 and 327,504.30 is: 491,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,772.61 : 596,658.96 = 327,504.30 : x
  2. Step 2: Convert to fraction form
    397,772.61/596,658.96 = 327,504.30/x
  3. Step 3: Cross multiply
    397,772.61x = 596,658.96 × 327,504.30
  4. Step 4: Simplify right side
    397,772.61x = 195,408,375,033.53
  5. Step 5: Solve for x
    x = 195,408,375,033.53/397,772.61
  6. Step 6: Final answer
    x = 491,256.49

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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.