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Finding the Fourth Proportional to 361,735.11, 499,193.49 and 200,586

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Solution

The fourth proportional to 361,735.11, 499,193.49 and 200,586 is: 276,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,735.11 : 499,193.49 = 200,586 : x
  2. Step 2: Convert to fraction form
    361,735.11/499,193.49 = 200,586/x
  3. Step 3: Cross multiply
    361,735.11x = 499,193.49 × 200,586
  4. Step 4: Simplify right side
    361,735.11x = 100,131,225,385.14
  5. Step 5: Solve for x
    x = 100,131,225,385.14/361,735.11
  6. Step 6: Final answer
    x = 276,808.15

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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.