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Finding the Fourth Proportional to 396,049.02, 594,108.46 and 111,742.06

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Solution

The fourth proportional to 396,049.02, 594,108.46 and 111,742.06 is: 167,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,049.02 : 594,108.46 = 111,742.06 : x
  2. Step 2: Convert to fraction form
    396,049.02/594,108.46 = 111,742.06/x
  3. Step 3: Cross multiply
    396,049.02x = 594,108.46 × 111,742.06
  4. Step 4: Simplify right side
    396,049.02x = 66,386,903,183.83
  5. Step 5: Solve for x
    x = 66,386,903,183.83/396,049.02
  6. Step 6: Final answer
    x = 167,622.95

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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.