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Finding the Fourth Proportional to 304,902.78, 457,267.74 and 192,414.48

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Solution

The fourth proportional to 304,902.78, 457,267.74 and 192,414.48 is: 288,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,902.78 : 457,267.74 = 192,414.48 : x
  2. Step 2: Convert to fraction form
    304,902.78/457,267.74 = 192,414.48/x
  3. Step 3: Cross multiply
    304,902.78x = 457,267.74 × 192,414.48
  4. Step 4: Simplify right side
    304,902.78x = 87,984,934,412.88
  5. Step 5: Solve for x
    x = 87,984,934,412.88/304,902.78
  6. Step 6: Final answer
    x = 288,567.18

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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.