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Finding the Fourth Proportional to 361,244.38, 498,469.98 and 208,288.30

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Solution

The fourth proportional to 361,244.38, 498,469.98 and 208,288.30 is: 287,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,244.38 : 498,469.98 = 208,288.30 : x
  2. Step 2: Convert to fraction form
    361,244.38/498,469.98 = 208,288.30/x
  3. Step 3: Cross multiply
    361,244.38x = 498,469.98 × 208,288.30
  4. Step 4: Simplify right side
    361,244.38x = 103,825,464,735.23
  5. Step 5: Solve for x
    x = 103,825,464,735.23/361,244.38
  6. Step 6: Final answer
    x = 287,410.60

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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.