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Finding the Fourth Proportional to 394,409.22, 591,613.84 and 360,194.82

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Solution

The fourth proportional to 394,409.22, 591,613.84 and 360,194.82 is: 540,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,409.22 : 591,613.84 = 360,194.82 : x
  2. Step 2: Convert to fraction form
    394,409.22/591,613.84 = 360,194.82/x
  3. Step 3: Cross multiply
    394,409.22x = 591,613.84 × 360,194.82
  4. Step 4: Simplify right side
    394,409.22x = 213,096,240,608.31
  5. Step 5: Solve for x
    x = 213,096,240,608.31/394,409.22
  6. Step 6: Final answer
    x = 540,292.24

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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.