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Finding the Fourth Proportional to 263,419.36, 394,729.91 and 174,353.79

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Solution

The fourth proportional to 263,419.36, 394,729.91 and 174,353.79 is: 261,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,419.36 : 394,729.91 = 174,353.79 : x
  2. Step 2: Convert to fraction form
    263,419.36/394,729.91 = 174,353.79/x
  3. Step 3: Cross multiply
    263,419.36x = 394,729.91 × 174,353.79
  4. Step 4: Simplify right side
    263,419.36x = 68,822,653,861.21
  5. Step 5: Solve for x
    x = 68,822,653,861.21/263,419.36
  6. Step 6: Final answer
    x = 261,266.50

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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.