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Finding the Fourth Proportional to 355,797.69, 491,022.59 and 204,943.29

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Solution

The fourth proportional to 355,797.69, 491,022.59 and 204,943.29 is: 282,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,797.69 : 491,022.59 = 204,943.29 : x
  2. Step 2: Convert to fraction form
    355,797.69/491,022.59 = 204,943.29/x
  3. Step 3: Cross multiply
    355,797.69x = 491,022.59 × 204,943.29
  4. Step 4: Simplify right side
    355,797.69x = 100,631,784,034.21
  5. Step 5: Solve for x
    x = 100,631,784,034.21/355,797.69
  6. Step 6: Final answer
    x = 282,834.28

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