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Finding the Fourth Proportional to 285,834.38, 394,423.09 and 165,014.64

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Solution

The fourth proportional to 285,834.38, 394,423.09 and 165,014.64 is: 227,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,834.38 : 394,423.09 = 165,014.64 : x
  2. Step 2: Convert to fraction form
    285,834.38/394,423.09 = 165,014.64/x
  3. Step 3: Cross multiply
    285,834.38x = 394,423.09 × 165,014.64
  4. Step 4: Simplify right side
    285,834.38x = 65,085,583,791.50
  5. Step 5: Solve for x
    x = 65,085,583,791.50/285,834.38
  6. Step 6: Final answer
    x = 227,703.84

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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.