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Finding the Fourth Proportional to 320,857, 481,758.57 and 178,979.44

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Solution

The fourth proportional to 320,857, 481,758.57 and 178,979.44 is: 268,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,857 : 481,758.57 = 178,979.44 : x
  2. Step 2: Convert to fraction form
    320,857/481,758.57 = 178,979.44/x
  3. Step 3: Cross multiply
    320,857x = 481,758.57 × 178,979.44
  4. Step 4: Simplify right side
    320,857x = 86,224,879,073.80
  5. Step 5: Solve for x
    x = 86,224,879,073.80/320,857
  6. Step 6: Final answer
    x = 268,733.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.