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Finding the Fourth Proportional to 500,584.92, 690,824.40 and 274,230.36

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Solution

The fourth proportional to 500,584.92, 690,824.40 and 274,230.36 is: 378,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,584.92 : 690,824.40 = 274,230.36 : x
  2. Step 2: Convert to fraction form
    500,584.92/690,824.40 = 274,230.36/x
  3. Step 3: Cross multiply
    500,584.92x = 690,824.40 × 274,230.36
  4. Step 4: Simplify right side
    500,584.92x = 189,445,023,908.78
  5. Step 5: Solve for x
    x = 189,445,023,908.78/500,584.92
  6. Step 6: Final answer
    x = 378,447.32

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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.