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Finding the Fourth Proportional to 550,360.96, 825,579.84 and 217,936

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Solution

The fourth proportional to 550,360.96, 825,579.84 and 217,936 is: 326,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,360.96 : 825,579.84 = 217,936 : x
  2. Step 2: Convert to fraction form
    550,360.96/825,579.84 = 217,936/x
  3. Step 3: Cross multiply
    550,360.96x = 825,579.84 × 217,936
  4. Step 4: Simplify right side
    550,360.96x = 179,923,568,010.24
  5. Step 5: Solve for x
    x = 179,923,568,010.24/550,360.96
  6. Step 6: Final answer
    x = 326,919.21

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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.