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Finding the Fourth Proportional to 496,122.32, 743,327.56 and 271,644.32

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Solution

The fourth proportional to 496,122.32, 743,327.56 and 271,644.32 is: 406,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,122.32 : 743,327.56 = 271,644.32 : x
  2. Step 2: Convert to fraction form
    496,122.32/743,327.56 = 271,644.32/x
  3. Step 3: Cross multiply
    496,122.32x = 743,327.56 × 271,644.32
  4. Step 4: Simplify right side
    496,122.32x = 201,920,709,573.46
  5. Step 5: Solve for x
    x = 201,920,709,573.46/496,122.32
  6. Step 6: Final answer
    x = 406,997.83

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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.