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Finding the Fourth Proportional to 362,652.16, 543,517.60 and 204,969.28

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Solution

The fourth proportional to 362,652.16, 543,517.60 and 204,969.28 is: 307,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,652.16 : 543,517.60 = 204,969.28 : x
  2. Step 2: Convert to fraction form
    362,652.16/543,517.60 = 204,969.28/x
  3. Step 3: Cross multiply
    362,652.16x = 543,517.60 × 204,969.28
  4. Step 4: Simplify right side
    362,652.16x = 111,404,411,139.33
  5. Step 5: Solve for x
    x = 111,404,411,139.33/362,652.16
  6. Step 6: Final answer
    x = 307,193.57

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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.