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Finding the Fourth Proportional to 262,994.40, 394,297.20 and 144,799.20

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Solution

The fourth proportional to 262,994.40, 394,297.20 and 144,799.20 is: 217,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,994.40 : 394,297.20 = 144,799.20 : x
  2. Step 2: Convert to fraction form
    262,994.40/394,297.20 = 144,799.20/x
  3. Step 3: Cross multiply
    262,994.40x = 394,297.20 × 144,799.20
  4. Step 4: Simplify right side
    262,994.40x = 57,093,919,122.24
  5. Step 5: Solve for x
    x = 57,093,919,122.24/262,994.40
  6. Step 6: Final answer
    x = 217,091.77

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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.