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Finding the Fourth Proportional to 382,296, 527,582 and 210,227.08

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Solution

The fourth proportional to 382,296, 527,582 and 210,227.08 is: 290,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,296 : 527,582 = 210,227.08 : x
  2. Step 2: Convert to fraction form
    382,296/527,582 = 210,227.08/x
  3. Step 3: Cross multiply
    382,296x = 527,582 × 210,227.08
  4. Step 4: Simplify right side
    382,296x = 110,912,023,320.56
  5. Step 5: Solve for x
    x = 110,912,023,320.56/382,296
  6. Step 6: Final answer
    x = 290,120.81

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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.