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Finding the Fourth Proportional to 414,793.71, 622,561.44 and 212,527.80

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Solution

The fourth proportional to 414,793.71, 622,561.44 and 212,527.80 is: 318,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,793.71 : 622,561.44 = 212,527.80 : x
  2. Step 2: Convert to fraction form
    414,793.71/622,561.44 = 212,527.80/x
  3. Step 3: Cross multiply
    414,793.71x = 622,561.44 × 212,527.80
  4. Step 4: Simplify right side
    414,793.71x = 132,311,613,208.03
  5. Step 5: Solve for x
    x = 132,311,613,208.03/414,793.71
  6. Step 6: Final answer
    x = 318,981.73

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Why These Related Problems?

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