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Finding the Fourth Proportional to 362,966.36, 500,902.26 and 201,828.20

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Solution

The fourth proportional to 362,966.36, 500,902.26 and 201,828.20 is: 278,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,966.36 : 500,902.26 = 201,828.20 : x
  2. Step 2: Convert to fraction form
    362,966.36/500,902.26 = 201,828.20/x
  3. Step 3: Cross multiply
    362,966.36x = 500,902.26 × 201,828.20
  4. Step 4: Simplify right side
    362,966.36x = 101,096,201,511.73
  5. Step 5: Solve for x
    x = 101,096,201,511.73/362,966.36
  6. Step 6: Final answer
    x = 278,527.74

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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.