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Finding the Fourth Proportional to 363,414.80, 545,446.20 and 213,467.60

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Solution

The fourth proportional to 363,414.80, 545,446.20 and 213,467.60 is: 320,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,414.80 : 545,446.20 = 213,467.60 : x
  2. Step 2: Convert to fraction form
    363,414.80/545,446.20 = 213,467.60/x
  3. Step 3: Cross multiply
    363,414.80x = 545,446.20 × 213,467.60
  4. Step 4: Simplify right side
    363,414.80x = 116,435,091,243.12
  5. Step 5: Solve for x
    x = 116,435,091,243.12/363,414.80
  6. Step 6: Final answer
    x = 320,391.72

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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.