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Finding the Fourth Proportional to 361,198.14, 498,457.17 and 217,930.50

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Solution

The fourth proportional to 361,198.14, 498,457.17 and 217,930.50 is: 300,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,198.14 : 498,457.17 = 217,930.50 : x
  2. Step 2: Convert to fraction form
    361,198.14/498,457.17 = 217,930.50/x
  3. Step 3: Cross multiply
    361,198.14x = 498,457.17 × 217,930.50
  4. Step 4: Simplify right side
    361,198.14x = 108,629,020,286.69
  5. Step 5: Solve for x
    x = 108,629,020,286.69/361,198.14
  6. Step 6: Final answer
    x = 300,746.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.