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Finding the Fourth Proportional to 500,059.38, 690,007.76 and 303,723.76

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Solution

The fourth proportional to 500,059.38, 690,007.76 and 303,723.76 is: 419,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,059.38 : 690,007.76 = 303,723.76 : x
  2. Step 2: Convert to fraction form
    500,059.38/690,007.76 = 303,723.76/x
  3. Step 3: Cross multiply
    500,059.38x = 690,007.76 × 303,723.76
  4. Step 4: Simplify right side
    500,059.38x = 209,571,751,296.38
  5. Step 5: Solve for x
    x = 209,571,751,296.38/500,059.38
  6. Step 6: Final answer
    x = 419,093.73

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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.