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Finding the Fourth Proportional to 382,017.70, 572,608.05 and 192,175.30

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Solution

The fourth proportional to 382,017.70, 572,608.05 and 192,175.30 is: 288,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,017.70 : 572,608.05 = 192,175.30 : x
  2. Step 2: Convert to fraction form
    382,017.70/572,608.05 = 192,175.30/x
  3. Step 3: Cross multiply
    382,017.70x = 572,608.05 × 192,175.30
  4. Step 4: Simplify right side
    382,017.70x = 110,041,123,791.17
  5. Step 5: Solve for x
    x = 110,041,123,791.17/382,017.70
  6. Step 6: Final answer
    x = 288,052.42

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Why These Related Problems?

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