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Finding the Fourth Proportional to 394,273.71, 591,069.42 and 334,691.46

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Solution

The fourth proportional to 394,273.71, 591,069.42 and 334,691.46 is: 501,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,273.71 : 591,069.42 = 334,691.46 : x
  2. Step 2: Convert to fraction form
    394,273.71/591,069.42 = 334,691.46/x
  3. Step 3: Cross multiply
    394,273.71x = 591,069.42 × 334,691.46
  4. Step 4: Simplify right side
    394,273.71x = 197,825,887,141.15
  5. Step 5: Solve for x
    x = 197,825,887,141.15/394,273.71
  6. Step 6: Final answer
    x = 501,747.60

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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.