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Finding the Fourth Proportional to 366,279.16, 505,441.16 and 205,097.26

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Solution

The fourth proportional to 366,279.16, 505,441.16 and 205,097.26 is: 283,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,279.16 : 505,441.16 = 205,097.26 : x
  2. Step 2: Convert to fraction form
    366,279.16/505,441.16 = 205,097.26/x
  3. Step 3: Cross multiply
    366,279.16x = 505,441.16 × 205,097.26
  4. Step 4: Simplify right side
    366,279.16x = 103,664,597,007.22
  5. Step 5: Solve for x
    x = 103,664,597,007.22/366,279.16
  6. Step 6: Final answer
    x = 283,020.73

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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.