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Finding the Fourth Proportional to 366,062.64, 505,166.64 and 204,918

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Solution

The fourth proportional to 366,062.64, 505,166.64 and 204,918 is: 282,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,062.64 : 505,166.64 = 204,918 : x
  2. Step 2: Convert to fraction form
    366,062.64/505,166.64 = 204,918/x
  3. Step 3: Cross multiply
    366,062.64x = 505,166.64 × 204,918
  4. Step 4: Simplify right side
    366,062.64x = 103,517,737,535.52
  5. Step 5: Solve for x
    x = 103,517,737,535.52/366,062.64
  6. Step 6: Final answer
    x = 282,786.95

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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.