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Finding the Fourth Proportional to 379,253.24, 523,342.86 and 209,474

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Solution

The fourth proportional to 379,253.24, 523,342.86 and 209,474 is: 289,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,253.24 : 523,342.86 = 209,474 : x
  2. Step 2: Convert to fraction form
    379,253.24/523,342.86 = 209,474/x
  3. Step 3: Cross multiply
    379,253.24x = 523,342.86 × 209,474
  4. Step 4: Simplify right side
    379,253.24x = 109,626,722,255.64
  5. Step 5: Solve for x
    x = 109,626,722,255.64/379,253.24
  6. Step 6: Final answer
    x = 289,059.42

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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.