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Finding the Fourth Proportional to 366,204.38, 505,405.17 and 205,028.28

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Solution

The fourth proportional to 366,204.38, 505,405.17 and 205,028.28 is: 282,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,204.38 : 505,405.17 = 205,028.28 : x
  2. Step 2: Convert to fraction form
    366,204.38/505,405.17 = 205,028.28/x
  3. Step 3: Cross multiply
    366,204.38x = 505,405.17 × 205,028.28
  4. Step 4: Simplify right side
    366,204.38x = 103,622,352,708.21
  5. Step 5: Solve for x
    x = 103,622,352,708.21/366,204.38
  6. Step 6: Final answer
    x = 282,963.18

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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.