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Finding the Fourth Proportional to 366,432.52, 505,562.10 and 205,265.80

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Solution

The fourth proportional to 366,432.52, 505,562.10 and 205,265.80 is: 283,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,432.52 : 505,562.10 = 205,265.80 : x
  2. Step 2: Convert to fraction form
    366,432.52/505,562.10 = 205,265.80/x
  3. Step 3: Cross multiply
    366,432.52x = 505,562.10 × 205,265.80
  4. Step 4: Simplify right side
    366,432.52x = 103,774,608,906.18
  5. Step 5: Solve for x
    x = 103,774,608,906.18/366,432.52
  6. Step 6: Final answer
    x = 283,202.51

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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.