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Finding the Fourth Proportional to 361,786.70, 499,295.54 and 200,693.70

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Solution

The fourth proportional to 361,786.70, 499,295.54 and 200,693.70 is: 276,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,786.70 : 499,295.54 = 200,693.70 : x
  2. Step 2: Convert to fraction form
    361,786.70/499,295.54 = 200,693.70/x
  3. Step 3: Cross multiply
    361,786.70x = 499,295.54 × 200,693.70
  4. Step 4: Simplify right side
    361,786.70x = 100,205,469,817.83
  5. Step 5: Solve for x
    x = 100,205,469,817.83/361,786.70
  6. Step 6: Final answer
    x = 276,973.89

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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.