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Finding the Fourth Proportional to 414,700.70, 622,149.76 and 134,217.94

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Solution

The fourth proportional to 414,700.70, 622,149.76 and 134,217.94 is: 201,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,700.70 : 622,149.76 = 134,217.94 : x
  2. Step 2: Convert to fraction form
    414,700.70/622,149.76 = 134,217.94/x
  3. Step 3: Cross multiply
    414,700.70x = 622,149.76 × 134,217.94
  4. Step 4: Simplify right side
    414,700.70x = 83,503,659,158.69
  5. Step 5: Solve for x
    x = 83,503,659,158.69/414,700.70
  6. Step 6: Final answer
    x = 201,358.86

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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.