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Finding the Fourth Proportional to 419,642.34, 629,649.56 and 219,915.24

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Solution

The fourth proportional to 419,642.34, 629,649.56 and 219,915.24 is: 329,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,642.34 : 629,649.56 = 219,915.24 : x
  2. Step 2: Convert to fraction form
    419,642.34/629,649.56 = 219,915.24/x
  3. Step 3: Cross multiply
    419,642.34x = 629,649.56 × 219,915.24
  4. Step 4: Simplify right side
    419,642.34x = 138,469,534,103.29
  5. Step 5: Solve for x
    x = 138,469,534,103.29/419,642.34
  6. Step 6: Final answer
    x = 329,970.36

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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.