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Finding the Fourth Proportional to 500,795.82, 691,095.84 and 274,441.32

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Solution

The fourth proportional to 500,795.82, 691,095.84 and 274,441.32 is: 378,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,795.82 : 691,095.84 = 274,441.32 : x
  2. Step 2: Convert to fraction form
    500,795.82/691,095.84 = 274,441.32/x
  3. Step 3: Cross multiply
    500,795.82x = 691,095.84 × 274,441.32
  4. Step 4: Simplify right side
    500,795.82x = 189,665,254,576.11
  5. Step 5: Solve for x
    x = 189,665,254,576.11/500,795.82
  6. Step 6: Final answer
    x = 378,727.71

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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.