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Finding the Fourth Proportional to 414,043.90, 620,622.91 and 214,163.06

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Solution

The fourth proportional to 414,043.90, 620,622.91 and 214,163.06 is: 321,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,043.90 : 620,622.91 = 214,163.06 : x
  2. Step 2: Convert to fraction form
    414,043.90/620,622.91 = 214,163.06/x
  3. Step 3: Cross multiply
    414,043.90x = 620,622.91 × 214,163.06
  4. Step 4: Simplify right side
    414,043.90x = 132,914,501,511.71
  5. Step 5: Solve for x
    x = 132,914,501,511.71/414,043.90
  6. Step 6: Final answer
    x = 321,015.48

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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.