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Finding the Fourth Proportional to 496,449.20, 744,019.29 and 196,766.42

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Solution

The fourth proportional to 496,449.20, 744,019.29 and 196,766.42 is: 294,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,449.20 : 744,019.29 = 196,766.42 : x
  2. Step 2: Convert to fraction form
    496,449.20/744,019.29 = 196,766.42/x
  3. Step 3: Cross multiply
    496,449.20x = 744,019.29 × 196,766.42
  4. Step 4: Simplify right side
    496,449.20x = 146,398,008,384.15
  5. Step 5: Solve for x
    x = 146,398,008,384.15/496,449.20
  6. Step 6: Final answer
    x = 294,890.21

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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.