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Finding the Fourth Proportional to 394,394.94, 591,355.68 and 180,895.38

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Solution

The fourth proportional to 394,394.94, 591,355.68 and 180,895.38 is: 271,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,394.94 : 591,355.68 = 180,895.38 : x
  2. Step 2: Convert to fraction form
    394,394.94/591,355.68 = 180,895.38/x
  3. Step 3: Cross multiply
    394,394.94x = 591,355.68 × 180,895.38
  4. Step 4: Simplify right side
    394,394.94x = 106,973,510,448.76
  5. Step 5: Solve for x
    x = 106,973,510,448.76/394,394.94
  6. Step 6: Final answer
    x = 271,234.49

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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.