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Finding the Fourth Proportional to 414,469.60, 620,890.90 and 214,920.44

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Solution

The fourth proportional to 414,469.60, 620,890.90 and 214,920.44 is: 321,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469.60 : 620,890.90 = 214,920.44 : x
  2. Step 2: Convert to fraction form
    414,469.60/620,890.90 = 214,920.44/x
  3. Step 3: Cross multiply
    414,469.60x = 620,890.90 × 214,920.44
  4. Step 4: Simplify right side
    414,469.60x = 133,442,145,420.00
  5. Step 5: Solve for x
    x = 133,442,145,420.00/414,469.60
  6. Step 6: Final answer
    x = 321,958.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.