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Finding the Fourth Proportional to 483,974.84, 667,789.56 and 293,006

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Solution

The fourth proportional to 483,974.84, 667,789.56 and 293,006 is: 404,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,974.84 : 667,789.56 = 293,006 : x
  2. Step 2: Convert to fraction form
    483,974.84/667,789.56 = 293,006/x
  3. Step 3: Cross multiply
    483,974.84x = 667,789.56 × 293,006
  4. Step 4: Simplify right side
    483,974.84x = 195,666,347,817.36
  5. Step 5: Solve for x
    x = 195,666,347,817.36/483,974.84
  6. Step 6: Final answer
    x = 404,290.33

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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.