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Finding the Fourth Proportional to 270,732.33, 405,654.62 and 191,704.68

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Solution

The fourth proportional to 270,732.33, 405,654.62 and 191,704.68 is: 287,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,732.33 : 405,654.62 = 191,704.68 : x
  2. Step 2: Convert to fraction form
    270,732.33/405,654.62 = 191,704.68/x
  3. Step 3: Cross multiply
    270,732.33x = 405,654.62 × 191,704.68
  4. Step 4: Simplify right side
    270,732.33x = 77,765,888,159.10
  5. Step 5: Solve for x
    x = 77,765,888,159.10/270,732.33
  6. Step 6: Final answer
    x = 287,242.71

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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.