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Finding the Fourth Proportional to 304,026.86, 419,454.78 and 196,732.64

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Solution

The fourth proportional to 304,026.86, 419,454.78 and 196,732.64 is: 271,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,026.86 : 419,454.78 = 196,732.64 : x
  2. Step 2: Convert to fraction form
    304,026.86/419,454.78 = 196,732.64/x
  3. Step 3: Cross multiply
    304,026.86x = 419,454.78 × 196,732.64
  4. Step 4: Simplify right side
    304,026.86x = 82,520,446,230.02
  5. Step 5: Solve for x
    x = 82,520,446,230.02/304,026.86
  6. Step 6: Final answer
    x = 271,424.85

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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.