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Finding the Fourth Proportional to 496,241.88, 743,163.79 and 282,361.79

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Solution

The fourth proportional to 496,241.88, 743,163.79 and 282,361.79 is: 422,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,241.88 : 743,163.79 = 282,361.79 : x
  2. Step 2: Convert to fraction form
    496,241.88/743,163.79 = 282,361.79/x
  3. Step 3: Cross multiply
    496,241.88x = 743,163.79 × 282,361.79
  4. Step 4: Simplify right side
    496,241.88x = 209,841,058,007.58
  5. Step 5: Solve for x
    x = 209,841,058,007.58/496,241.88
  6. Step 6: Final answer
    x = 422,860.44

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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.