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Finding the Fourth Proportional to 361,940.64, 499,478.70 and 200,795.70

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Solution

The fourth proportional to 361,940.64, 499,478.70 and 200,795.70 is: 277,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,940.64 : 499,478.70 = 200,795.70 : x
  2. Step 2: Convert to fraction form
    361,940.64/499,478.70 = 200,795.70/x
  3. Step 3: Cross multiply
    361,940.64x = 499,478.70 × 200,795.70
  4. Step 4: Simplify right side
    361,940.64x = 100,293,175,201.59
  5. Step 5: Solve for x
    x = 100,293,175,201.59/361,940.64
  6. Step 6: Final answer
    x = 277,098.41

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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.