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Finding the Fourth Proportional to 361,493.10, 498,847.68 and 200,363.13

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Solution

The fourth proportional to 361,493.10, 498,847.68 and 200,363.13 is: 276,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,493.10 : 498,847.68 = 200,363.13 : x
  2. Step 2: Convert to fraction form
    361,493.10/498,847.68 = 200,363.13/x
  3. Step 3: Cross multiply
    361,493.10x = 498,847.68 × 200,363.13
  4. Step 4: Simplify right side
    361,493.10x = 99,950,682,558.04
  5. Step 5: Solve for x
    x = 99,950,682,558.04/361,493.10
  6. Step 6: Final answer
    x = 276,494.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.