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Finding the Fourth Proportional to 361,930.34, 499,464.47 and 200,785.39

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Solution

The fourth proportional to 361,930.34, 499,464.47 and 200,785.39 is: 277,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930.34 : 499,464.47 = 200,785.39 : x
  2. Step 2: Convert to fraction form
    361,930.34/499,464.47 = 200,785.39/x
  3. Step 3: Cross multiply
    361,930.34x = 499,464.47 × 200,785.39
  4. Step 4: Simplify right side
    361,930.34x = 100,285,167,653.40
  5. Step 5: Solve for x
    x = 100,285,167,653.40/361,930.34
  6. Step 6: Final answer
    x = 277,084.17

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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.