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Finding the Fourth Proportional to 366,781.80, 506,183.28 and 205,647.24

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Solution

The fourth proportional to 366,781.80, 506,183.28 and 205,647.24 is: 283,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,781.80 : 506,183.28 = 205,647.24 : x
  2. Step 2: Convert to fraction form
    366,781.80/506,183.28 = 205,647.24/x
  3. Step 3: Cross multiply
    366,781.80x = 506,183.28 × 205,647.24
  4. Step 4: Simplify right side
    366,781.80x = 104,095,194,466.15
  5. Step 5: Solve for x
    x = 104,095,194,466.15/366,781.80
  6. Step 6: Final answer
    x = 283,806.87

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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.