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Finding the Fourth Proportional to 382,040.62, 527,205.63 and 212,270.38

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Solution

The fourth proportional to 382,040.62, 527,205.63 and 212,270.38 is: 292,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,040.62 : 527,205.63 = 212,270.38 : x
  2. Step 2: Convert to fraction form
    382,040.62/527,205.63 = 212,270.38/x
  3. Step 3: Cross multiply
    382,040.62x = 527,205.63 × 212,270.38
  4. Step 4: Simplify right side
    382,040.62x = 111,910,139,418.24
  5. Step 5: Solve for x
    x = 111,910,139,418.24/382,040.62
  6. Step 6: Final answer
    x = 292,927.33

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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.