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Finding the Fourth Proportional to 362,193.60, 543,679.20 and 204,729.60

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Solution

The fourth proportional to 362,193.60, 543,679.20 and 204,729.60 is: 307,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,193.60 : 543,679.20 = 204,729.60 : x
  2. Step 2: Convert to fraction form
    362,193.60/543,679.20 = 204,729.60/x
  3. Step 3: Cross multiply
    362,193.60x = 543,679.20 × 204,729.60
  4. Step 4: Simplify right side
    362,193.60x = 111,307,225,144.32
  5. Step 5: Solve for x
    x = 111,307,225,144.32/362,193.60
  6. Step 6: Final answer
    x = 307,314.17

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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.