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Finding the Fourth Proportional to 294,175.90, 440,846.68 and 123,213.43

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Solution

The fourth proportional to 294,175.90, 440,846.68 and 123,213.43 is: 184,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,175.90 : 440,846.68 = 123,213.43 : x
  2. Step 2: Convert to fraction form
    294,175.90/440,846.68 = 123,213.43/x
  3. Step 3: Cross multiply
    294,175.90x = 440,846.68 × 123,213.43
  4. Step 4: Simplify right side
    294,175.90x = 54,318,231,546.91
  5. Step 5: Solve for x
    x = 54,318,231,546.91/294,175.90
  6. Step 6: Final answer
    x = 184,645.42

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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.