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Finding the Fourth Proportional to 322,030.72, 444,465.44 and 205,669.44

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Solution

The fourth proportional to 322,030.72, 444,465.44 and 205,669.44 is: 283,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,030.72 : 444,465.44 = 205,669.44 : x
  2. Step 2: Convert to fraction form
    322,030.72/444,465.44 = 205,669.44/x
  3. Step 3: Cross multiply
    322,030.72x = 444,465.44 × 205,669.44
  4. Step 4: Simplify right side
    322,030.72x = 91,412,958,144.15
  5. Step 5: Solve for x
    x = 91,412,958,144.15/322,030.72
  6. Step 6: Final answer
    x = 283,864.09

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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.