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Finding the Fourth Proportional to 282,997.73, 424,496.60 and 193,981.37

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Solution

The fourth proportional to 282,997.73, 424,496.60 and 193,981.37 is: 290,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,997.73 : 424,496.60 = 193,981.37 : x
  2. Step 2: Convert to fraction form
    282,997.73/424,496.60 = 193,981.37/x
  3. Step 3: Cross multiply
    282,997.73x = 424,496.60 × 193,981.37
  4. Step 4: Simplify right side
    282,997.73x = 82,344,432,028.34
  5. Step 5: Solve for x
    x = 82,344,432,028.34/282,997.73
  6. Step 6: Final answer
    x = 290,972.06

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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.