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Finding the Fourth Proportional to 361,930.09, 499,464.12 and 200,785.14

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Solution

The fourth proportional to 361,930.09, 499,464.12 and 200,785.14 is: 277,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930.09 : 499,464.12 = 200,785.14 : x
  2. Step 2: Convert to fraction form
    361,930.09/499,464.12 = 200,785.14/x
  3. Step 3: Cross multiply
    361,930.09x = 499,464.12 × 200,785.14
  4. Step 4: Simplify right side
    361,930.09x = 100,284,973,259.18
  5. Step 5: Solve for x
    x = 100,284,973,259.18/361,930.09
  6. Step 6: Final answer
    x = 277,083.82

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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.