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Finding the Fourth Proportional to 654,697.70, 982,286.44 and 275,713.84

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Solution

The fourth proportional to 654,697.70, 982,286.44 and 275,713.84 is: 413,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,697.70 : 982,286.44 = 275,713.84 : x
  2. Step 2: Convert to fraction form
    654,697.70/982,286.44 = 275,713.84/x
  3. Step 3: Cross multiply
    654,697.70x = 982,286.44 × 275,713.84
  4. Step 4: Simplify right side
    654,697.70x = 270,829,968,441.79
  5. Step 5: Solve for x
    x = 270,829,968,441.79/654,697.70
  6. Step 6: Final answer
    x = 413,671.79

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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.