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Finding the Fourth Proportional to 304,206.84, 419,665.86 and 196,811.78

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Solution

The fourth proportional to 304,206.84, 419,665.86 and 196,811.78 is: 271,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206.84 : 419,665.86 = 196,811.78 : x
  2. Step 2: Convert to fraction form
    304,206.84/419,665.86 = 196,811.78/x
  3. Step 3: Cross multiply
    304,206.84x = 419,665.86 × 196,811.78
  4. Step 4: Simplify right side
    304,206.84x = 82,595,182,813.50
  5. Step 5: Solve for x
    x = 82,595,182,813.50/304,206.84
  6. Step 6: Final answer
    x = 271,509.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.