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Finding the Fourth Proportional to 361,861.62, 499,370.85 and 200,705.46

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Solution

The fourth proportional to 361,861.62, 499,370.85 and 200,705.46 is: 276,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,861.62 : 499,370.85 = 200,705.46 : x
  2. Step 2: Convert to fraction form
    361,861.62/499,370.85 = 200,705.46/x
  3. Step 3: Cross multiply
    361,861.62x = 499,370.85 × 200,705.46
  4. Step 4: Simplify right side
    361,861.62x = 100,226,456,159.84
  5. Step 5: Solve for x
    x = 100,226,456,159.84/361,861.62
  6. Step 6: Final answer
    x = 276,974.54

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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.