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Finding the Fourth Proportional to 419,637.32, 629,642.04 and 219,910.22

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Solution

The fourth proportional to 419,637.32, 629,642.04 and 219,910.22 is: 329,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,637.32 : 629,642.04 = 219,910.22 : x
  2. Step 2: Convert to fraction form
    419,637.32/629,642.04 = 219,910.22/x
  3. Step 3: Cross multiply
    419,637.32x = 629,642.04 × 219,910.22
  4. Step 4: Simplify right side
    419,637.32x = 138,464,718,438.10
  5. Step 5: Solve for x
    x = 138,464,718,438.10/419,637.32
  6. Step 6: Final answer
    x = 329,962.83

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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.