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Finding the Fourth Proportional to 463,138.40, 694,772.40 and 196,896.80

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Solution

The fourth proportional to 463,138.40, 694,772.40 and 196,896.80 is: 295,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,138.40 : 694,772.40 = 196,896.80 : x
  2. Step 2: Convert to fraction form
    463,138.40/694,772.40 = 196,896.80/x
  3. Step 3: Cross multiply
    463,138.40x = 694,772.40 × 196,896.80
  4. Step 4: Simplify right side
    463,138.40x = 136,798,462,288.32
  5. Step 5: Solve for x
    x = 136,798,462,288.32/463,138.40
  6. Step 6: Final answer
    x = 295,372.75

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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.