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Finding the Fourth Proportional to 419,788.22, 629,726.16 and 179,926.16

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Solution

The fourth proportional to 419,788.22, 629,726.16 and 179,926.16 is: 269,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,788.22 : 629,726.16 = 179,926.16 : x
  2. Step 2: Convert to fraction form
    419,788.22/629,726.16 = 179,926.16/x
  3. Step 3: Cross multiply
    419,788.22x = 629,726.16 × 179,926.16
  4. Step 4: Simplify right side
    419,788.22x = 113,304,209,820.35
  5. Step 5: Solve for x
    x = 113,304,209,820.35/419,788.22
  6. Step 6: Final answer
    x = 269,908.03

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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.