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Finding the Fourth Proportional to 422,064, 633,096 and 126,576

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Solution

The fourth proportional to 422,064, 633,096 and 126,576 is: 189,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,064 : 633,096 = 126,576 : x
  2. Step 2: Convert to fraction form
    422,064/633,096 = 126,576/x
  3. Step 3: Cross multiply
    422,064x = 633,096 × 126,576
  4. Step 4: Simplify right side
    422,064x = 80,134,759,296
  5. Step 5: Solve for x
    x = 80,134,759,296/422,064
  6. Step 6: Final answer
    x = 189,864

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.