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Finding the Fourth Proportional to 499,633.20, 749,231.10 and 200,014.20

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Solution

The fourth proportional to 499,633.20, 749,231.10 and 200,014.20 is: 299,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,633.20 : 749,231.10 = 200,014.20 : x
  2. Step 2: Convert to fraction form
    499,633.20/749,231.10 = 200,014.20/x
  3. Step 3: Cross multiply
    499,633.20x = 749,231.10 × 200,014.20
  4. Step 4: Simplify right side
    499,633.20x = 149,856,859,081.62
  5. Step 5: Solve for x
    x = 149,856,859,081.62/499,633.20
  6. Step 6: Final answer
    x = 299,933.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.