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Finding the Fourth Proportional to 413,748.50, 620,621.83 and 110,142.73

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Solution

The fourth proportional to 413,748.50, 620,621.83 and 110,142.73 is: 165,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,748.50 : 620,621.83 = 110,142.73 : x
  2. Step 2: Convert to fraction form
    413,748.50/620,621.83 = 110,142.73/x
  3. Step 3: Cross multiply
    413,748.50x = 620,621.83 × 110,142.73
  4. Step 4: Simplify right side
    413,748.50x = 68,356,983,567.25
  5. Step 5: Solve for x
    x = 68,356,983,567.25/413,748.50
  6. Step 6: Final answer
    x = 165,213.85

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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.