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Finding the Fourth Proportional to 286,056.68, 394,905.24 and 201,551

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Solution

The fourth proportional to 286,056.68, 394,905.24 and 201,551 is: 278,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,056.68 : 394,905.24 = 201,551 : x
  2. Step 2: Convert to fraction form
    286,056.68/394,905.24 = 201,551/x
  3. Step 3: Cross multiply
    286,056.68x = 394,905.24 × 201,551
  4. Step 4: Simplify right side
    286,056.68x = 79,593,546,027.24
  5. Step 5: Solve for x
    x = 79,593,546,027.24/286,056.68
  6. Step 6: Final answer
    x = 278,243.97

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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.