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Finding the Fourth Proportional to 285,563.85, 394,257.24 and 183,766.19

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Solution

The fourth proportional to 285,563.85, 394,257.24 and 183,766.19 is: 253,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,563.85 : 394,257.24 = 183,766.19 : x
  2. Step 2: Convert to fraction form
    285,563.85/394,257.24 = 183,766.19/x
  3. Step 3: Cross multiply
    285,563.85x = 394,257.24 × 183,766.19
  4. Step 4: Simplify right side
    285,563.85x = 72,451,148,903.43
  5. Step 5: Solve for x
    x = 72,451,148,903.43/285,563.85
  6. Step 6: Final answer
    x = 253,712.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.