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Finding the Fourth Proportional to 706,067.28, 974,349 and 404,202.96

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Solution

The fourth proportional to 706,067.28, 974,349 and 404,202.96 is: 557,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,067.28 : 974,349 = 404,202.96 : x
  2. Step 2: Convert to fraction form
    706,067.28/974,349 = 404,202.96/x
  3. Step 3: Cross multiply
    706,067.28x = 974,349 × 404,202.96
  4. Step 4: Simplify right side
    706,067.28x = 393,834,749,873.04
  5. Step 5: Solve for x
    x = 393,834,749,873.04/706,067.28
  6. Step 6: Final answer
    x = 557,786.43

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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.