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Finding the Fourth Proportional to 262,972.80, 394,653.60 and 174,196.80

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Solution

The fourth proportional to 262,972.80, 394,653.60 and 174,196.80 is: 261,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,972.80 : 394,653.60 = 174,196.80 : x
  2. Step 2: Convert to fraction form
    262,972.80/394,653.60 = 174,196.80/x
  3. Step 3: Cross multiply
    262,972.80x = 394,653.60 × 174,196.80
  4. Step 4: Simplify right side
    262,972.80x = 68,747,394,228.48
  5. Step 5: Solve for x
    x = 68,747,394,228.48/262,972.80
  6. Step 6: Final answer
    x = 261,423.97

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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.