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Finding the Fourth Proportional to 294,441.72, 405,921.42 and 198,796.92

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Solution

The fourth proportional to 294,441.72, 405,921.42 and 198,796.92 is: 274,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,441.72 : 405,921.42 = 198,796.92 : x
  2. Step 2: Convert to fraction form
    294,441.72/405,921.42 = 198,796.92/x
  3. Step 3: Cross multiply
    294,441.72x = 405,921.42 × 198,796.92
  4. Step 4: Simplify right side
    294,441.72x = 80,695,928,058.03
  5. Step 5: Solve for x
    x = 80,695,928,058.03/294,441.72
  6. Step 6: Final answer
    x = 274,064.18

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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.