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Finding the Fourth Proportional to 442,857.45, 664,450.20 and 143,347.80

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Solution

The fourth proportional to 442,857.45, 664,450.20 and 143,347.80 is: 215,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,857.45 : 664,450.20 = 143,347.80 : x
  2. Step 2: Convert to fraction form
    442,857.45/664,450.20 = 143,347.80/x
  3. Step 3: Cross multiply
    442,857.45x = 664,450.20 × 143,347.80
  4. Step 4: Simplify right side
    442,857.45x = 95,247,474,379.56
  5. Step 5: Solve for x
    x = 95,247,474,379.56/442,857.45
  6. Step 6: Final answer
    x = 215,074.79

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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.