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Finding the Fourth Proportional to 366,078.74, 505,199.16 and 204,932.88

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Solution

The fourth proportional to 366,078.74, 505,199.16 and 204,932.88 is: 282,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,078.74 : 505,199.16 = 204,932.88 : x
  2. Step 2: Convert to fraction form
    366,078.74/505,199.16 = 204,932.88/x
  3. Step 3: Cross multiply
    366,078.74x = 505,199.16 × 204,932.88
  4. Step 4: Simplify right side
    366,078.74x = 103,531,918,832.38
  5. Step 5: Solve for x
    x = 103,531,918,832.38/366,078.74
  6. Step 6: Final answer
    x = 282,813.26

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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.