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Finding the Fourth Proportional to 338,629.86, 507,816 and 110,872.44

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Solution

The fourth proportional to 338,629.86, 507,816 and 110,872.44 is: 166,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,629.86 : 507,816 = 110,872.44 : x
  2. Step 2: Convert to fraction form
    338,629.86/507,816 = 110,872.44/x
  3. Step 3: Cross multiply
    338,629.86x = 507,816 × 110,872.44
  4. Step 4: Simplify right side
    338,629.86x = 56,302,798,991.04
  5. Step 5: Solve for x
    x = 56,302,798,991.04/338,629.86
  6. Step 6: Final answer
    x = 166,266.49

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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.