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Finding the Fourth Proportional to 422,592.36, 633,911.67 and 107,052

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Solution

The fourth proportional to 422,592.36, 633,911.67 and 107,052 is: 160,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,592.36 : 633,911.67 = 107,052 : x
  2. Step 2: Convert to fraction form
    422,592.36/633,911.67 = 107,052/x
  3. Step 3: Cross multiply
    422,592.36x = 633,911.67 × 107,052
  4. Step 4: Simplify right side
    422,592.36x = 67,861,512,096.84
  5. Step 5: Solve for x
    x = 67,861,512,096.84/422,592.36
  6. Step 6: Final answer
    x = 160,583.86

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Why These Related Problems?

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