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Finding the Fourth Proportional to 463,471.45, 694,645.76 and 196,671.49

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Solution

The fourth proportional to 463,471.45, 694,645.76 and 196,671.49 is: 294,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,471.45 : 694,645.76 = 196,671.49 : x
  2. Step 2: Convert to fraction form
    463,471.45/694,645.76 = 196,671.49/x
  3. Step 3: Cross multiply
    463,471.45x = 694,645.76 × 196,671.49
  4. Step 4: Simplify right side
    463,471.45x = 136,617,015,396.45
  5. Step 5: Solve for x
    x = 136,617,015,396.45/463,471.45
  6. Step 6: Final answer
    x = 294,769.00

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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.