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Finding the Fourth Proportional to 500,769.58, 691,039.47 and 274,410.22

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Solution

The fourth proportional to 500,769.58, 691,039.47 and 274,410.22 is: 378,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,769.58 : 691,039.47 = 274,410.22 : x
  2. Step 2: Convert to fraction form
    500,769.58/691,039.47 = 274,410.22/x
  3. Step 3: Cross multiply
    500,769.58x = 691,039.47 × 274,410.22
  4. Step 4: Simplify right side
    500,769.58x = 189,628,292,991.38
  5. Step 5: Solve for x
    x = 189,628,292,991.38/500,769.58
  6. Step 6: Final answer
    x = 378,673.75

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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.