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Finding the Fourth Proportional to 493,067.30, 741,361.48 and 454,094.96

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Solution

The fourth proportional to 493,067.30, 741,361.48 and 454,094.96 is: 682,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,067.30 : 741,361.48 = 454,094.96 : x
  2. Step 2: Convert to fraction form
    493,067.30/741,361.48 = 454,094.96/x
  3. Step 3: Cross multiply
    493,067.30x = 741,361.48 × 454,094.96
  4. Step 4: Simplify right side
    493,067.30x = 336,648,511,606.14
  5. Step 5: Solve for x
    x = 336,648,511,606.14/493,067.30
  6. Step 6: Final answer
    x = 682,763.82

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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.