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Finding the Fourth Proportional to 309,216.57, 463,891.01 and 95,979.83

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Solution

The fourth proportional to 309,216.57, 463,891.01 and 95,979.83 is: 143,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216.57 : 463,891.01 = 95,979.83 : x
  2. Step 2: Convert to fraction form
    309,216.57/463,891.01 = 95,979.83/x
  3. Step 3: Cross multiply
    309,216.57x = 463,891.01 × 95,979.83
  4. Step 4: Simplify right side
    309,216.57x = 44,524,177,478.97
  5. Step 5: Solve for x
    x = 44,524,177,478.97/309,216.57
  6. Step 6: Final answer
    x = 143,990.27

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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.