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Finding the Fourth Proportional to 295,872.48, 407,891.16 and 205,072.56

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Solution

The fourth proportional to 295,872.48, 407,891.16 and 205,072.56 is: 282,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,872.48 : 407,891.16 = 205,072.56 : x
  2. Step 2: Convert to fraction form
    295,872.48/407,891.16 = 205,072.56/x
  3. Step 3: Cross multiply
    295,872.48x = 407,891.16 × 205,072.56
  4. Step 4: Simplify right side
    295,872.48x = 83,647,284,382.57
  5. Step 5: Solve for x
    x = 83,647,284,382.57/295,872.48
  6. Step 6: Final answer
    x = 282,713.97

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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.