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Finding the Fourth Proportional to 475,944.88, 656,797.80 and 271,993.46

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Solution

The fourth proportional to 475,944.88, 656,797.80 and 271,993.46 is: 375,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,944.88 : 656,797.80 = 271,993.46 : x
  2. Step 2: Convert to fraction form
    475,944.88/656,797.80 = 271,993.46/x
  3. Step 3: Cross multiply
    475,944.88x = 656,797.80 × 271,993.46
  4. Step 4: Simplify right side
    475,944.88x = 178,644,706,142.39
  5. Step 5: Solve for x
    x = 178,644,706,142.39/475,944.88
  6. Step 6: Final answer
    x = 375,347.47

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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.