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Finding the Fourth Proportional to 366,480.69, 505,734.53 and 205,342.53

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Solution

The fourth proportional to 366,480.69, 505,734.53 and 205,342.53 is: 283,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,480.69 : 505,734.53 = 205,342.53 : x
  2. Step 2: Convert to fraction form
    366,480.69/505,734.53 = 205,342.53/x
  3. Step 3: Cross multiply
    366,480.69x = 505,734.53 × 205,342.53
  4. Step 4: Simplify right side
    366,480.69x = 103,848,807,898.56
  5. Step 5: Solve for x
    x = 103,848,807,898.56/366,480.69
  6. Step 6: Final answer
    x = 283,367.75

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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.