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Finding the Fourth Proportional to 362,091.60, 543,655.80 and 204,627.60

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Solution

The fourth proportional to 362,091.60, 543,655.80 and 204,627.60 is: 307,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,091.60 : 543,655.80 = 204,627.60 : x
  2. Step 2: Convert to fraction form
    362,091.60/543,655.80 = 204,627.60/x
  3. Step 3: Cross multiply
    362,091.60x = 543,655.80 × 204,627.60
  4. Step 4: Simplify right side
    362,091.60x = 111,246,981,580.08
  5. Step 5: Solve for x
    x = 111,246,981,580.08/362,091.60
  6. Step 6: Final answer
    x = 307,234.36

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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.