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Finding the Fourth Proportional to 422,733.20, 633,915.47 and 159,892.88

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Solution

The fourth proportional to 422,733.20, 633,915.47 and 159,892.88 is: 239,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,733.20 : 633,915.47 = 159,892.88 : x
  2. Step 2: Convert to fraction form
    422,733.20/633,915.47 = 159,892.88/x
  3. Step 3: Cross multiply
    422,733.20x = 633,915.47 × 159,892.88
  4. Step 4: Simplify right side
    422,733.20x = 101,358,567,405.01
  5. Step 5: Solve for x
    x = 101,358,567,405.01/422,733.20
  6. Step 6: Final answer
    x = 239,769.60

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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.