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Finding the Fourth Proportional to 362,912.96, 500,836.50 and 201,784.52

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Solution

The fourth proportional to 362,912.96, 500,836.50 and 201,784.52 is: 278,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,912.96 : 500,836.50 = 201,784.52 : x
  2. Step 2: Convert to fraction form
    362,912.96/500,836.50 = 201,784.52/x
  3. Step 3: Cross multiply
    362,912.96x = 500,836.50 × 201,784.52
  4. Step 4: Simplify right side
    362,912.96x = 101,061,052,750.98
  5. Step 5: Solve for x
    x = 101,061,052,750.98/362,912.96
  6. Step 6: Final answer
    x = 278,471.88

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Why These Related Problems?

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