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Finding the Fourth Proportional to 293,920.20, 440,102.70 and 231,193.80

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Solution

The fourth proportional to 293,920.20, 440,102.70 and 231,193.80 is: 346,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,920.20 : 440,102.70 = 231,193.80 : x
  2. Step 2: Convert to fraction form
    293,920.20/440,102.70 = 231,193.80/x
  3. Step 3: Cross multiply
    293,920.20x = 440,102.70 × 231,193.80
  4. Step 4: Simplify right side
    293,920.20x = 101,749,015,603.26
  5. Step 5: Solve for x
    x = 101,749,015,603.26/293,920.20
  6. Step 6: Final answer
    x = 346,179.05

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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.