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Finding the Fourth Proportional to 463,019.87, 694,879.73 and 196,967.68

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Solution

The fourth proportional to 463,019.87, 694,879.73 and 196,967.68 is: 295,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,019.87 : 694,879.73 = 196,967.68 : x
  2. Step 2: Convert to fraction form
    463,019.87/694,879.73 = 196,967.68/x
  3. Step 3: Cross multiply
    463,019.87x = 694,879.73 × 196,967.68
  4. Step 4: Simplify right side
    463,019.87x = 136,868,847,052.35
  5. Step 5: Solve for x
    x = 136,868,847,052.35/463,019.87
  6. Step 6: Final answer
    x = 295,600.37

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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.