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Finding the Fourth Proportional to 379,100.52, 523,151.73 and 209,331

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Solution

The fourth proportional to 379,100.52, 523,151.73 and 209,331 is: 288,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,100.52 : 523,151.73 = 209,331 : x
  2. Step 2: Convert to fraction form
    379,100.52/523,151.73 = 209,331/x
  3. Step 3: Cross multiply
    379,100.52x = 523,151.73 × 209,331
  4. Step 4: Simplify right side
    379,100.52x = 109,511,874,792.63
  5. Step 5: Solve for x
    x = 109,511,874,792.63/379,100.52
  6. Step 6: Final answer
    x = 288,872.92

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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.