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Finding the Fourth Proportional to 394,412.22, 591,618.34 and 360,197.82

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Solution

The fourth proportional to 394,412.22, 591,618.34 and 360,197.82 is: 540,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,412.22 : 591,618.34 = 360,197.82 : x
  2. Step 2: Convert to fraction form
    394,412.22/591,618.34 = 360,197.82/x
  3. Step 3: Cross multiply
    394,412.22x = 591,618.34 × 360,197.82
  4. Step 4: Simplify right side
    394,412.22x = 213,099,636,340.02
  5. Step 5: Solve for x
    x = 213,099,636,340.02/394,412.22
  6. Step 6: Final answer
    x = 540,296.74

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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.