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Finding the Fourth Proportional to 299,625.60, 449,956.80 and 159,657.60

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Solution

The fourth proportional to 299,625.60, 449,956.80 and 159,657.60 is: 239,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,625.60 : 449,956.80 = 159,657.60 : x
  2. Step 2: Convert to fraction form
    299,625.60/449,956.80 = 159,657.60/x
  3. Step 3: Cross multiply
    299,625.60x = 449,956.80 × 159,657.60
  4. Step 4: Simplify right side
    299,625.60x = 71,839,022,791.68
  5. Step 5: Solve for x
    x = 71,839,022,791.68/299,625.60
  6. Step 6: Final answer
    x = 239,762.63

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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.