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Finding the Fourth Proportional to 680,858.16, 939,441.84 and 394,361.16

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Solution

The fourth proportional to 680,858.16, 939,441.84 and 394,361.16 is: 544,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,858.16 : 939,441.84 = 394,361.16 : x
  2. Step 2: Convert to fraction form
    680,858.16/939,441.84 = 394,361.16/x
  3. Step 3: Cross multiply
    680,858.16x = 939,441.84 × 394,361.16
  4. Step 4: Simplify right side
    680,858.16x = 370,479,373,774.93
  5. Step 5: Solve for x
    x = 370,479,373,774.93/680,858.16
  6. Step 6: Final answer
    x = 544,135.91

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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.