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Finding the Fourth Proportional to 256,704.80, 385,057.20 and 194,496.80

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Solution

The fourth proportional to 256,704.80, 385,057.20 and 194,496.80 is: 291,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,704.80 : 385,057.20 = 194,496.80 : x
  2. Step 2: Convert to fraction form
    256,704.80/385,057.20 = 194,496.80/x
  3. Step 3: Cross multiply
    256,704.80x = 385,057.20 × 194,496.80
  4. Step 4: Simplify right side
    256,704.80x = 74,892,393,216.96
  5. Step 5: Solve for x
    x = 74,892,393,216.96/256,704.80
  6. Step 6: Final answer
    x = 291,745.20

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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.