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Finding the Fourth Proportional to 414,850.56, 622,245.76 and 162,083.52

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Solution

The fourth proportional to 414,850.56, 622,245.76 and 162,083.52 is: 243,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,850.56 : 622,245.76 = 162,083.52 : x
  2. Step 2: Convert to fraction form
    414,850.56/622,245.76 = 162,083.52/x
  3. Step 3: Cross multiply
    414,850.56x = 622,245.76 × 162,083.52
  4. Step 4: Simplify right side
    414,850.56x = 100,855,783,085.88
  5. Step 5: Solve for x
    x = 100,855,783,085.88/414,850.56
  6. Step 6: Final answer
    x = 243,113.53

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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.