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Finding the Fourth Proportional to 422,732.94, 633,915.10 and 159,892.62

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Solution

The fourth proportional to 422,732.94, 633,915.10 and 159,892.62 is: 239,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,732.94 : 633,915.10 = 159,892.62 : x
  2. Step 2: Convert to fraction form
    422,732.94/633,915.10 = 159,892.62/x
  3. Step 3: Cross multiply
    422,732.94x = 633,915.10 × 159,892.62
  4. Step 4: Simplify right side
    422,732.94x = 101,358,346,196.56
  5. Step 5: Solve for x
    x = 101,358,346,196.56/422,732.94
  6. Step 6: Final answer
    x = 239,769.22

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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.