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Finding the Fourth Proportional to 361,930.32, 499,464.43 and 200,785.37

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Solution

The fourth proportional to 361,930.32, 499,464.43 and 200,785.37 is: 277,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930.32 : 499,464.43 = 200,785.37 : x
  2. Step 2: Convert to fraction form
    361,930.32/499,464.43 = 200,785.37/x
  3. Step 3: Cross multiply
    361,930.32x = 499,464.43 × 200,785.37
  4. Step 4: Simplify right side
    361,930.32x = 100,285,151,126.09
  5. Step 5: Solve for x
    x = 100,285,151,126.09/361,930.32
  6. Step 6: Final answer
    x = 277,084.14

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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.