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Finding the Fourth Proportional to 463,163.40, 694,809.90 and 196,921.80

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Solution

The fourth proportional to 463,163.40, 694,809.90 and 196,921.80 is: 295,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,163.40 : 694,809.90 = 196,921.80 : x
  2. Step 2: Convert to fraction form
    463,163.40/694,809.90 = 196,921.80/x
  3. Step 3: Cross multiply
    463,163.40x = 694,809.90 × 196,921.80
  4. Step 4: Simplify right side
    463,163.40x = 136,823,216,165.82
  5. Step 5: Solve for x
    x = 136,823,216,165.82/463,163.40
  6. Step 6: Final answer
    x = 295,410.25

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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.