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Finding the Fourth Proportional to 304,308.08, 419,803.65 and 196,912.82

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Solution

The fourth proportional to 304,308.08, 419,803.65 and 196,912.82 is: 271,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,308.08 : 419,803.65 = 196,912.82 : x
  2. Step 2: Convert to fraction form
    304,308.08/419,803.65 = 196,912.82/x
  3. Step 3: Cross multiply
    304,308.08x = 419,803.65 × 196,912.82
  4. Step 4: Simplify right side
    304,308.08x = 82,664,720,567.79
  5. Step 5: Solve for x
    x = 82,664,720,567.79/304,308.08
  6. Step 6: Final answer
    x = 271,648.13

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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.