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Finding the Fourth Proportional to 395,229.12, 545,416.50 and 213,940.49

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Solution

The fourth proportional to 395,229.12, 545,416.50 and 213,940.49 is: 295,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,229.12 : 545,416.50 = 213,940.49 : x
  2. Step 2: Convert to fraction form
    395,229.12/545,416.50 = 213,940.49/x
  3. Step 3: Cross multiply
    395,229.12x = 545,416.50 × 213,940.49
  4. Step 4: Simplify right side
    395,229.12x = 116,686,670,537.00
  5. Step 5: Solve for x
    x = 116,686,670,537.00/395,229.12
  6. Step 6: Final answer
    x = 295,238.04

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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.