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Finding the Fourth Proportional to 496,163.22, 744,490.74 and 196,637.16

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Solution

The fourth proportional to 496,163.22, 744,490.74 and 196,637.16 is: 295,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,163.22 : 744,490.74 = 196,637.16 : x
  2. Step 2: Convert to fraction form
    496,163.22/744,490.74 = 196,637.16/x
  3. Step 3: Cross multiply
    496,163.22x = 744,490.74 × 196,637.16
  4. Step 4: Simplify right side
    496,163.22x = 146,394,544,759.90
  5. Step 5: Solve for x
    x = 146,394,544,759.90/496,163.22
  6. Step 6: Final answer
    x = 295,053.20

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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.