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Finding the Fourth Proportional to 379,229.94, 569,010.86 and 179,692.74

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Solution

The fourth proportional to 379,229.94, 569,010.86 and 179,692.74 is: 269,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,229.94 : 569,010.86 = 179,692.74 : x
  2. Step 2: Convert to fraction form
    379,229.94/569,010.86 = 179,692.74/x
  3. Step 3: Cross multiply
    379,229.94x = 569,010.86 × 179,692.74
  4. Step 4: Simplify right side
    379,229.94x = 102,247,120,523.16
  5. Step 5: Solve for x
    x = 102,247,120,523.16/379,229.94
  6. Step 6: Final answer
    x = 269,617.74

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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.