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Finding the Fourth Proportional to 500,796.82, 691,097.22 and 274,442.32

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Solution

The fourth proportional to 500,796.82, 691,097.22 and 274,442.32 is: 378,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,796.82 : 691,097.22 = 274,442.32 : x
  2. Step 2: Convert to fraction form
    500,796.82/691,097.22 = 274,442.32/x
  3. Step 3: Cross multiply
    500,796.82x = 691,097.22 × 274,442.32
  4. Step 4: Simplify right side
    500,796.82x = 189,666,324,402.35
  5. Step 5: Solve for x
    x = 189,666,324,402.35/500,796.82
  6. Step 6: Final answer
    x = 378,729.09

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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.