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Finding the Fourth Proportional to 275,662.34, 413,243.82 and 191,462.26

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Solution

The fourth proportional to 275,662.34, 413,243.82 and 191,462.26 is: 287,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,662.34 : 413,243.82 = 191,462.26 : x
  2. Step 2: Convert to fraction form
    275,662.34/413,243.82 = 191,462.26/x
  3. Step 3: Cross multiply
    275,662.34x = 413,243.82 × 191,462.26
  4. Step 4: Simplify right side
    275,662.34x = 79,120,595,708.23
  5. Step 5: Solve for x
    x = 79,120,595,708.23/275,662.34
  6. Step 6: Final answer
    x = 287,019.97

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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.