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Finding the Fourth Proportional to 361,982.16, 499,534.80 and 200,861.76

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Solution

The fourth proportional to 361,982.16, 499,534.80 and 200,861.76 is: 277,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,982.16 : 499,534.80 = 200,861.76 : x
  2. Step 2: Convert to fraction form
    361,982.16/499,534.80 = 200,861.76/x
  3. Step 3: Cross multiply
    361,982.16x = 499,534.80 × 200,861.76
  4. Step 4: Simplify right side
    361,982.16x = 100,337,439,109.25
  5. Step 5: Solve for x
    x = 100,337,439,109.25/361,982.16
  6. Step 6: Final answer
    x = 277,188.91

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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.