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Finding the Fourth Proportional to 274,763.49, 378,984.25 and 193,264.59

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Solution

The fourth proportional to 274,763.49, 378,984.25 and 193,264.59 is: 266,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,763.49 : 378,984.25 = 193,264.59 : x
  2. Step 2: Convert to fraction form
    274,763.49/378,984.25 = 193,264.59/x
  3. Step 3: Cross multiply
    274,763.49x = 378,984.25 × 193,264.59
  4. Step 4: Simplify right side
    274,763.49x = 73,244,235,692.71
  5. Step 5: Solve for x
    x = 73,244,235,692.71/274,763.49
  6. Step 6: Final answer
    x = 266,571.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.