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Finding the Fourth Proportional to 419,639.40, 629,645.13 and 219,912.30

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Solution

The fourth proportional to 419,639.40, 629,645.13 and 219,912.30 is: 329,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,639.40 : 629,645.13 = 219,912.30 : x
  2. Step 2: Convert to fraction form
    419,639.40/629,645.13 = 219,912.30/x
  3. Step 3: Cross multiply
    419,639.40x = 629,645.13 × 219,912.30
  4. Step 4: Simplify right side
    419,639.40x = 138,466,708,722.10
  5. Step 5: Solve for x
    x = 138,466,708,722.10/419,639.40
  6. Step 6: Final answer
    x = 329,965.94

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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.