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Finding the Fourth Proportional to 512,949.96, 769,353.03 and 175,985.10

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Solution

The fourth proportional to 512,949.96, 769,353.03 and 175,985.10 is: 263,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,949.96 : 769,353.03 = 175,985.10 : x
  2. Step 2: Convert to fraction form
    512,949.96/769,353.03 = 175,985.10/x
  3. Step 3: Cross multiply
    512,949.96x = 769,353.03 × 175,985.10
  4. Step 4: Simplify right side
    512,949.96x = 135,394,669,919.85
  5. Step 5: Solve for x
    x = 135,394,669,919.85/512,949.96
  6. Step 6: Final answer
    x = 263,952.98

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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.