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Finding the Fourth Proportional to 496,046.96, 743,633.84 and 196,737.68

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Solution

The fourth proportional to 496,046.96, 743,633.84 and 196,737.68 is: 294,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,046.96 : 743,633.84 = 196,737.68 : x
  2. Step 2: Convert to fraction form
    496,046.96/743,633.84 = 196,737.68/x
  3. Step 3: Cross multiply
    496,046.96x = 743,633.84 × 196,737.68
  4. Step 4: Simplify right side
    496,046.96x = 146,300,796,451.09
  5. Step 5: Solve for x
    x = 146,300,796,451.09/496,046.96
  6. Step 6: Final answer
    x = 294,933.36

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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.