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Finding the Fourth Proportional to 366,500.86, 505,770.82 and 205,357.03

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Solution

The fourth proportional to 366,500.86, 505,770.82 and 205,357.03 is: 283,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,500.86 : 505,770.82 = 205,357.03 : x
  2. Step 2: Convert to fraction form
    366,500.86/505,770.82 = 205,357.03/x
  3. Step 3: Cross multiply
    366,500.86x = 505,770.82 × 205,357.03
  4. Step 4: Simplify right side
    366,500.86x = 103,863,591,678.05
  5. Step 5: Solve for x
    x = 103,863,591,678.05/366,500.86
  6. Step 6: Final answer
    x = 283,392.49

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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.