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Finding the Fourth Proportional to 285,128.93, 427,221.09 and 200,475.50

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Solution

The fourth proportional to 285,128.93, 427,221.09 and 200,475.50 is: 300,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,128.93 : 427,221.09 = 200,475.50 : x
  2. Step 2: Convert to fraction form
    285,128.93/427,221.09 = 200,475.50/x
  3. Step 3: Cross multiply
    285,128.93x = 427,221.09 × 200,475.50
  4. Step 4: Simplify right side
    285,128.93x = 85,647,361,846.05
  5. Step 5: Solve for x
    x = 85,647,361,846.05/285,128.93
  6. Step 6: Final answer
    x = 300,381.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.