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Finding the Fourth Proportional to 505,974.67, 698,245.73 and 291,110.43

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Solution

The fourth proportional to 505,974.67, 698,245.73 and 291,110.43 is: 401,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,974.67 : 698,245.73 = 291,110.43 : x
  2. Step 2: Convert to fraction form
    505,974.67/698,245.73 = 291,110.43/x
  3. Step 3: Cross multiply
    505,974.67x = 698,245.73 × 291,110.43
  4. Step 4: Simplify right side
    505,974.67x = 203,266,614,705.96
  5. Step 5: Solve for x
    x = 203,266,614,705.96/505,974.67
  6. Step 6: Final answer
    x = 401,732.79

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Why These Related Problems?

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