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Finding the Fourth Proportional to 362,202.60, 543,822.30 and 204,738.60

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Solution

The fourth proportional to 362,202.60, 543,822.30 and 204,738.60 is: 307,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,202.60 : 543,822.30 = 204,738.60 : x
  2. Step 2: Convert to fraction form
    362,202.60/543,822.30 = 204,738.60/x
  3. Step 3: Cross multiply
    362,202.60x = 543,822.30 × 204,738.60
  4. Step 4: Simplify right side
    362,202.60x = 111,341,416,350.78
  5. Step 5: Solve for x
    x = 111,341,416,350.78/362,202.60
  6. Step 6: Final answer
    x = 307,400.93

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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.