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Finding the Fourth Proportional to 285,833.87, 394,457.96 and 161,644.90

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Solution

The fourth proportional to 285,833.87, 394,457.96 and 161,644.90 is: 223,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,833.87 : 394,457.96 = 161,644.90 : x
  2. Step 2: Convert to fraction form
    285,833.87/394,457.96 = 161,644.90/x
  3. Step 3: Cross multiply
    285,833.87x = 394,457.96 × 161,644.90
  4. Step 4: Simplify right side
    285,833.87x = 63,762,117,498.40
  5. Step 5: Solve for x
    x = 63,762,117,498.40/285,833.87
  6. Step 6: Final answer
    x = 223,074.04

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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.