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Finding the Fourth Proportional to 366,071.28, 505,186.92 and 204,922.32

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Solution

The fourth proportional to 366,071.28, 505,186.92 and 204,922.32 is: 282,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,071.28 : 505,186.92 = 204,922.32 : x
  2. Step 2: Convert to fraction form
    366,071.28/505,186.92 = 204,922.32/x
  3. Step 3: Cross multiply
    366,071.28x = 505,186.92 × 204,922.32
  4. Step 4: Simplify right side
    366,071.28x = 103,524,075,680.05
  5. Step 5: Solve for x
    x = 103,524,075,680.05/366,071.28
  6. Step 6: Final answer
    x = 282,797.59

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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.