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Finding the Fourth Proportional to 474,997.24, 712,419.31 and 208,708.12

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Solution

The fourth proportional to 474,997.24, 712,419.31 and 208,708.12 is: 313,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,997.24 : 712,419.31 = 208,708.12 : x
  2. Step 2: Convert to fraction form
    474,997.24/712,419.31 = 208,708.12/x
  3. Step 3: Cross multiply
    474,997.24x = 712,419.31 × 208,708.12
  4. Step 4: Simplify right side
    474,997.24x = 148,687,694,841.80
  5. Step 5: Solve for x
    x = 148,687,694,841.80/474,997.24
  6. Step 6: Final answer
    x = 313,028.54

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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.