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Finding the Fourth Proportional to 270,732.08, 405,654.24 and 191,704.44

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Solution

The fourth proportional to 270,732.08, 405,654.24 and 191,704.44 is: 287,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,732.08 : 405,654.24 = 191,704.44 : x
  2. Step 2: Convert to fraction form
    270,732.08/405,654.24 = 191,704.44/x
  3. Step 3: Cross multiply
    270,732.08x = 405,654.24 × 191,704.44
  4. Step 4: Simplify right side
    270,732.08x = 77,765,718,912.83
  5. Step 5: Solve for x
    x = 77,765,718,912.83/270,732.08
  6. Step 6: Final answer
    x = 287,242.35

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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.