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Finding the Fourth Proportional to 361,023.14, 498,245.35 and 199,878.18

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Solution

The fourth proportional to 361,023.14, 498,245.35 and 199,878.18 is: 275,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,023.14 : 498,245.35 = 199,878.18 : x
  2. Step 2: Convert to fraction form
    361,023.14/498,245.35 = 199,878.18/x
  3. Step 3: Cross multiply
    361,023.14x = 498,245.35 × 199,878.18
  4. Step 4: Simplify right side
    361,023.14x = 99,588,375,122.91
  5. Step 5: Solve for x
    x = 99,588,375,122.91/361,023.14
  6. Step 6: Final answer
    x = 275,850.39

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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.