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Finding the Fourth Proportional to 366,349.92, 505,559.91 and 205,206.49

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Solution

The fourth proportional to 366,349.92, 505,559.91 and 205,206.49 is: 283,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,349.92 : 505,559.91 = 205,206.49 : x
  2. Step 2: Convert to fraction form
    366,349.92/505,559.91 = 205,206.49/x
  3. Step 3: Cross multiply
    366,349.92x = 505,559.91 × 205,206.49
  4. Step 4: Simplify right side
    366,349.92x = 103,744,174,615.82
  5. Step 5: Solve for x
    x = 103,744,174,615.82/366,349.92
  6. Step 6: Final answer
    x = 283,183.29

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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.