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Finding the Fourth Proportional to 418,083.93, 576,958.68 and 227,097.27

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Solution

The fourth proportional to 418,083.93, 576,958.68 and 227,097.27 is: 313,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,083.93 : 576,958.68 = 227,097.27 : x
  2. Step 2: Convert to fraction form
    418,083.93/576,958.68 = 227,097.27/x
  3. Step 3: Cross multiply
    418,083.93x = 576,958.68 × 227,097.27
  4. Step 4: Simplify right side
    418,083.93x = 131,025,741,130.80
  5. Step 5: Solve for x
    x = 131,025,741,130.80/418,083.93
  6. Step 6: Final answer
    x = 313,395.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.