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Finding the Fourth Proportional to 523,634.96, 722,614.43 and 294,198.14

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Solution

The fourth proportional to 523,634.96, 722,614.43 and 294,198.14 is: 405,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,634.96 : 722,614.43 = 294,198.14 : x
  2. Step 2: Convert to fraction form
    523,634.96/722,614.43 = 294,198.14/x
  3. Step 3: Cross multiply
    523,634.96x = 722,614.43 × 294,198.14
  4. Step 4: Simplify right side
    523,634.96x = 212,591,823,785.19
  5. Step 5: Solve for x
    x = 212,591,823,785.19/523,634.96
  6. Step 6: Final answer
    x = 405,992.42

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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.