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Finding the Fourth Proportional to 414,537.91, 622,142.01 and 214,915.41

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Solution

The fourth proportional to 414,537.91, 622,142.01 and 214,915.41 is: 322,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,537.91 : 622,142.01 = 214,915.41 : x
  2. Step 2: Convert to fraction form
    414,537.91/622,142.01 = 214,915.41/x
  3. Step 3: Cross multiply
    414,537.91x = 622,142.01 × 214,915.41
  4. Step 4: Simplify right side
    414,537.91x = 133,707,905,157.37
  5. Step 5: Solve for x
    x = 133,707,905,157.37/414,537.91
  6. Step 6: Final answer
    x = 322,546.87

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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.