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Finding the Fourth Proportional to 382,273.52, 527,556.24 and 212,504

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Solution

The fourth proportional to 382,273.52, 527,556.24 and 212,504 is: 293,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,273.52 : 527,556.24 = 212,504 : x
  2. Step 2: Convert to fraction form
    382,273.52/527,556.24 = 212,504/x
  3. Step 3: Cross multiply
    382,273.52x = 527,556.24 × 212,504
  4. Step 4: Simplify right side
    382,273.52x = 112,107,811,224.96
  5. Step 5: Solve for x
    x = 112,107,811,224.96/382,273.52
  6. Step 6: Final answer
    x = 293,265.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.