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Finding the Fourth Proportional to 307,253.44, 423,769.38 and 199,857.77

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Solution

The fourth proportional to 307,253.44, 423,769.38 and 199,857.77 is: 275,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,253.44 : 423,769.38 = 199,857.77 : x
  2. Step 2: Convert to fraction form
    307,253.44/423,769.38 = 199,857.77/x
  3. Step 3: Cross multiply
    307,253.44x = 423,769.38 × 199,857.77
  4. Step 4: Simplify right side
    307,253.44x = 84,693,603,281.08
  5. Step 5: Solve for x
    x = 84,693,603,281.08/307,253.44
  6. Step 6: Final answer
    x = 275,647.37

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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.