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Finding the Fourth Proportional to 551,912.92, 827,709.48 and 214,878.46

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Solution

The fourth proportional to 551,912.92, 827,709.48 and 214,878.46 is: 322,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,912.92 : 827,709.48 = 214,878.46 : x
  2. Step 2: Convert to fraction form
    551,912.92/827,709.48 = 214,878.46/x
  3. Step 3: Cross multiply
    551,912.92x = 827,709.48 × 214,878.46
  4. Step 4: Simplify right side
    551,912.92x = 177,856,938,389.80
  5. Step 5: Solve for x
    x = 177,856,938,389.80/551,912.92
  6. Step 6: Final answer
    x = 322,255.44

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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.