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Finding the Fourth Proportional to 512,231.67, 768,349.35 and 157,245.71

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Solution

The fourth proportional to 512,231.67, 768,349.35 and 157,245.71 is: 235,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,231.67 : 768,349.35 = 157,245.71 : x
  2. Step 2: Convert to fraction form
    512,231.67/768,349.35 = 157,245.71/x
  3. Step 3: Cross multiply
    512,231.67x = 768,349.35 × 157,245.71
  4. Step 4: Simplify right side
    512,231.67x = 120,819,635,227.04
  5. Step 5: Solve for x
    x = 120,819,635,227.04/512,231.67
  6. Step 6: Final answer
    x = 235,869.12

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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.