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Finding the Fourth Proportional to 311,794.90, 466,524.60 and 222,045.10

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Solution

The fourth proportional to 311,794.90, 466,524.60 and 222,045.10 is: 332,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,794.90 : 466,524.60 = 222,045.10 : x
  2. Step 2: Convert to fraction form
    311,794.90/466,524.60 = 222,045.10/x
  3. Step 3: Cross multiply
    311,794.90x = 466,524.60 × 222,045.10
  4. Step 4: Simplify right side
    311,794.90x = 103,589,501,459.46
  5. Step 5: Solve for x
    x = 103,589,501,459.46/311,794.90
  6. Step 6: Final answer
    x = 332,236.04

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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.