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Finding the Fourth Proportional to 293,796.30, 440,733.67 and 116,261.78

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Solution

The fourth proportional to 293,796.30, 440,733.67 and 116,261.78 is: 174,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,796.30 : 440,733.67 = 116,261.78 : x
  2. Step 2: Convert to fraction form
    293,796.30/440,733.67 = 116,261.78/x
  3. Step 3: Cross multiply
    293,796.30x = 440,733.67 × 116,261.78
  4. Step 4: Simplify right side
    293,796.30x = 51,240,481,791.31
  5. Step 5: Solve for x
    x = 51,240,481,791.31/293,796.30
  6. Step 6: Final answer
    x = 174,408.19

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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.