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Finding the Fourth Proportional to 304,261.90, 419,741.73 and 196,866.94

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Solution

The fourth proportional to 304,261.90, 419,741.73 and 196,866.94 is: 271,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,261.90 : 419,741.73 = 196,866.94 : x
  2. Step 2: Convert to fraction form
    304,261.90/419,741.73 = 196,866.94/x
  3. Step 3: Cross multiply
    304,261.90x = 419,741.73 × 196,866.94
  4. Step 4: Simplify right side
    304,261.90x = 82,633,269,975.41
  5. Step 5: Solve for x
    x = 82,633,269,975.41/304,261.90
  6. Step 6: Final answer
    x = 271,585.99

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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.