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Finding the Fourth Proportional to 512,229.51, 768,316.50 and 157,243.59

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Solution

The fourth proportional to 512,229.51, 768,316.50 and 157,243.59 is: 235,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,229.51 : 768,316.50 = 157,243.59 : x
  2. Step 2: Convert to fraction form
    512,229.51/768,316.50 = 157,243.59/x
  3. Step 3: Cross multiply
    512,229.51x = 768,316.50 × 157,243.59
  4. Step 4: Simplify right side
    512,229.51x = 120,812,844,716.24
  5. Step 5: Solve for x
    x = 120,812,844,716.24/512,229.51
  6. Step 6: Final answer
    x = 235,856.86

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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.