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Finding the Fourth Proportional to 524,217.96, 785,329.56 and 271,119.24

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Solution

The fourth proportional to 524,217.96, 785,329.56 and 271,119.24 is: 406,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,217.96 : 785,329.56 = 271,119.24 : x
  2. Step 2: Convert to fraction form
    524,217.96/785,329.56 = 271,119.24/x
  3. Step 3: Cross multiply
    524,217.96x = 785,329.56 × 271,119.24
  4. Step 4: Simplify right side
    524,217.96x = 212,917,953,456.73
  5. Step 5: Solve for x
    x = 212,917,953,456.73/524,217.96
  6. Step 6: Final answer
    x = 406,163.03

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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.