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Finding the Fourth Proportional to 397,706.82, 548,845.53 and 216,428.58

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Solution

The fourth proportional to 397,706.82, 548,845.53 and 216,428.58 is: 298,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,706.82 : 548,845.53 = 216,428.58 : x
  2. Step 2: Convert to fraction form
    397,706.82/548,845.53 = 216,428.58/x
  3. Step 3: Cross multiply
    397,706.82x = 548,845.53 × 216,428.58
  4. Step 4: Simplify right side
    397,706.82x = 118,785,858,697.25
  5. Step 5: Solve for x
    x = 118,785,858,697.25/397,706.82
  6. Step 6: Final answer
    x = 298,676.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.