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Finding the Fourth Proportional to 379,700.73, 523,997.51 and 209,940.93

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Solution

The fourth proportional to 379,700.73, 523,997.51 and 209,940.93 is: 289,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,700.73 : 523,997.51 = 209,940.93 : x
  2. Step 2: Convert to fraction form
    379,700.73/523,997.51 = 209,940.93/x
  3. Step 3: Cross multiply
    379,700.73x = 523,997.51 × 209,940.93
  4. Step 4: Simplify right side
    379,700.73x = 110,008,523,517.38
  5. Step 5: Solve for x
    x = 110,008,523,517.38/379,700.73
  6. Step 6: Final answer
    x = 289,724.29

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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.