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Finding the Fourth Proportional to 500,162.96, 690,224.91 and 273,808.46

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Solution

The fourth proportional to 500,162.96, 690,224.91 and 273,808.46 is: 377,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,162.96 : 690,224.91 = 273,808.46 : x
  2. Step 2: Convert to fraction form
    500,162.96/690,224.91 = 273,808.46/x
  3. Step 3: Cross multiply
    500,162.96x = 690,224.91 × 273,808.46
  4. Step 4: Simplify right side
    500,162.96x = 188,989,419,660.74
  5. Step 5: Solve for x
    x = 188,989,419,660.74/500,162.96
  6. Step 6: Final answer
    x = 377,855.69

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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.