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Finding the Fourth Proportional to 723,309.11, 998,198.97 and 413,238.81

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Solution

The fourth proportional to 723,309.11, 998,198.97 and 413,238.81 is: 570,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,309.11 : 998,198.97 = 413,238.81 : x
  2. Step 2: Convert to fraction form
    723,309.11/998,198.97 = 413,238.81/x
  3. Step 3: Cross multiply
    723,309.11x = 998,198.97 × 413,238.81
  4. Step 4: Simplify right side
    723,309.11x = 412,494,553,043.63
  5. Step 5: Solve for x
    x = 412,494,553,043.63/723,309.11
  6. Step 6: Final answer
    x = 570,288.07

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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.