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Finding the Fourth Proportional to 379,711.24, 524,012 and 209,951.44

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Solution

The fourth proportional to 379,711.24, 524,012 and 209,951.44 is: 289,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,711.24 : 524,012 = 209,951.44 : x
  2. Step 2: Convert to fraction form
    379,711.24/524,012 = 209,951.44/x
  3. Step 3: Cross multiply
    379,711.24x = 524,012 × 209,951.44
  4. Step 4: Simplify right side
    379,711.24x = 110,017,073,977.28
  5. Step 5: Solve for x
    x = 110,017,073,977.28/379,711.24
  6. Step 6: Final answer
    x = 289,738.79

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