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Finding the Fourth Proportional to 414,609.44, 621,912.05 and 161,915.59

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Solution

The fourth proportional to 414,609.44, 621,912.05 and 161,915.59 is: 242,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,609.44 : 621,912.05 = 161,915.59 : x
  2. Step 2: Convert to fraction form
    414,609.44/621,912.05 = 161,915.59/x
  3. Step 3: Cross multiply
    414,609.44x = 621,912.05 × 161,915.59
  4. Step 4: Simplify right side
    414,609.44x = 100,697,252,584.72
  5. Step 5: Solve for x
    x = 100,697,252,584.72/414,609.44
  6. Step 6: Final answer
    x = 242,872.55

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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.