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Finding the Fourth Proportional to 258,305.28, 356,620.32 and 204,806.40

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Solution

The fourth proportional to 258,305.28, 356,620.32 and 204,806.40 is: 282,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,305.28 : 356,620.32 = 204,806.40 : x
  2. Step 2: Convert to fraction form
    258,305.28/356,620.32 = 204,806.40/x
  3. Step 3: Cross multiply
    258,305.28x = 356,620.32 × 204,806.40
  4. Step 4: Simplify right side
    258,305.28x = 73,038,123,906.05
  5. Step 5: Solve for x
    x = 73,038,123,906.05/258,305.28
  6. Step 6: Final answer
    x = 282,758.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.