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Finding the Fourth Proportional to 361,884.60, 543,345.30 and 204,420.60

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Solution

The fourth proportional to 361,884.60, 543,345.30 and 204,420.60 is: 306,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,884.60 : 543,345.30 = 204,420.60 : x
  2. Step 2: Convert to fraction form
    361,884.60/543,345.30 = 204,420.60/x
  3. Step 3: Cross multiply
    361,884.60x = 543,345.30 × 204,420.60
  4. Step 4: Simplify right side
    361,884.60x = 111,070,972,233.18
  5. Step 5: Solve for x
    x = 111,070,972,233.18/361,884.60
  6. Step 6: Final answer
    x = 306,923.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.