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Finding the Fourth Proportional to 394,037.94, 591,115.32 and 144,700.50

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Solution

The fourth proportional to 394,037.94, 591,115.32 and 144,700.50 is: 217,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,037.94 : 591,115.32 = 144,700.50 : x
  2. Step 2: Convert to fraction form
    394,037.94/591,115.32 = 144,700.50/x
  3. Step 3: Cross multiply
    394,037.94x = 591,115.32 × 144,700.50
  4. Step 4: Simplify right side
    394,037.94x = 85,534,682,361.66
  5. Step 5: Solve for x
    x = 85,534,682,361.66/394,037.94
  6. Step 6: Final answer
    x = 217,072.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.