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Finding the Fourth Proportional to 271,729.20, 407,593.80 and 253,297.20

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Solution

The fourth proportional to 271,729.20, 407,593.80 and 253,297.20 is: 379,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,729.20 : 407,593.80 = 253,297.20 : x
  2. Step 2: Convert to fraction form
    271,729.20/407,593.80 = 253,297.20/x
  3. Step 3: Cross multiply
    271,729.20x = 407,593.80 × 253,297.20
  4. Step 4: Simplify right side
    271,729.20x = 103,242,368,277.36
  5. Step 5: Solve for x
    x = 103,242,368,277.36/271,729.20
  6. Step 6: Final answer
    x = 379,945.80

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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.