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Finding the Fourth Proportional to 304,303.84, 419,797.80 and 196,908.54

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Solution

The fourth proportional to 304,303.84, 419,797.80 and 196,908.54 is: 271,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,303.84 : 419,797.80 = 196,908.54 : x
  2. Step 2: Convert to fraction form
    304,303.84/419,797.80 = 196,908.54/x
  3. Step 3: Cross multiply
    304,303.84x = 419,797.80 × 196,908.54
  4. Step 4: Simplify right side
    304,303.84x = 82,661,771,893.21
  5. Step 5: Solve for x
    x = 82,661,771,893.21/304,303.84
  6. Step 6: Final answer
    x = 271,642.22

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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.