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Finding the Fourth Proportional to 285,393.35, 394,107.56 and 213,648.81

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Solution

The fourth proportional to 285,393.35, 394,107.56 and 213,648.81 is: 295,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,393.35 : 394,107.56 = 213,648.81 : x
  2. Step 2: Convert to fraction form
    285,393.35/394,107.56 = 213,648.81/x
  3. Step 3: Cross multiply
    285,393.35x = 394,107.56 × 213,648.81
  4. Step 4: Simplify right side
    285,393.35x = 84,200,610,137.76
  5. Step 5: Solve for x
    x = 84,200,610,137.76/285,393.35
  6. Step 6: Final answer
    x = 295,033.54

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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.