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Finding the Fourth Proportional to 463,015.62, 694,516.23 and 147,469.86

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Solution

The fourth proportional to 463,015.62, 694,516.23 and 147,469.86 is: 221,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,015.62 : 694,516.23 = 147,469.86 : x
  2. Step 2: Convert to fraction form
    463,015.62/694,516.23 = 147,469.86/x
  3. Step 3: Cross multiply
    463,015.62x = 694,516.23 × 147,469.86
  4. Step 4: Simplify right side
    463,015.62x = 102,420,211,205.83
  5. Step 5: Solve for x
    x = 102,420,211,205.83/463,015.62
  6. Step 6: Final answer
    x = 221,202.50

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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.