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Finding the Fourth Proportional to 285,391.84, 394,105.48 and 213,647.30

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Solution

The fourth proportional to 285,391.84, 394,105.48 and 213,647.30 is: 295,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,391.84 : 394,105.48 = 213,647.30 : x
  2. Step 2: Convert to fraction form
    285,391.84/394,105.48 = 213,647.30/x
  3. Step 3: Cross multiply
    285,391.84x = 394,105.48 × 213,647.30
  4. Step 4: Simplify right side
    285,391.84x = 84,199,574,109.06
  5. Step 5: Solve for x
    x = 84,199,574,109.06/285,391.84
  6. Step 6: Final answer
    x = 295,031.47

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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.