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Finding the Fourth Proportional to 366,415.30, 505,684.20 and 205,268.14

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Solution

The fourth proportional to 366,415.30, 505,684.20 and 205,268.14 is: 283,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,415.30 : 505,684.20 = 205,268.14 : x
  2. Step 2: Convert to fraction form
    366,415.30/505,684.20 = 205,268.14/x
  3. Step 3: Cross multiply
    366,415.30x = 505,684.20 × 205,268.14
  4. Step 4: Simplify right side
    366,415.30x = 103,800,855,161.39
  5. Step 5: Solve for x
    x = 103,800,855,161.39/366,415.30
  6. Step 6: Final answer
    x = 283,287.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.