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Finding the Fourth Proportional to 263,013.80, 394,715.10 and 174,237.80

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Solution

The fourth proportional to 263,013.80, 394,715.10 and 174,237.80 is: 261,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,013.80 : 394,715.10 = 174,237.80 : x
  2. Step 2: Convert to fraction form
    263,013.80/394,715.10 = 174,237.80/x
  3. Step 3: Cross multiply
    263,013.80x = 394,715.10 × 174,237.80
  4. Step 4: Simplify right side
    263,013.80x = 68,774,290,650.78
  5. Step 5: Solve for x
    x = 68,774,290,650.78/263,013.80
  6. Step 6: Final answer
    x = 261,485.48

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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.