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Finding the Fourth Proportional to 414,418.14, 622,208.79 and 212,158.71

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Solution

The fourth proportional to 414,418.14, 622,208.79 and 212,158.71 is: 318,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,418.14 : 622,208.79 = 212,158.71 : x
  2. Step 2: Convert to fraction form
    414,418.14/622,208.79 = 212,158.71/x
  3. Step 3: Cross multiply
    414,418.14x = 622,208.79 × 212,158.71
  4. Step 4: Simplify right side
    414,418.14x = 132,007,014,237.06
  5. Step 5: Solve for x
    x = 132,007,014,237.06/414,418.14
  6. Step 6: Final answer
    x = 318,535.80

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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.