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Finding the Fourth Proportional to 399,464.96, 551,249.16 and 218,174

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Solution

The fourth proportional to 399,464.96, 551,249.16 and 218,174 is: 301,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,464.96 : 551,249.16 = 218,174 : x
  2. Step 2: Convert to fraction form
    399,464.96/551,249.16 = 218,174/x
  3. Step 3: Cross multiply
    399,464.96x = 551,249.16 × 218,174
  4. Step 4: Simplify right side
    399,464.96x = 120,268,234,233.84
  5. Step 5: Solve for x
    x = 120,268,234,233.84/399,464.96
  6. Step 6: Final answer
    x = 301,073.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.