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Finding the Fourth Proportional to 327,913.63, 491,796.63 and 214,025.60

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Solution

The fourth proportional to 327,913.63, 491,796.63 and 214,025.60 is: 320,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,913.63 : 491,796.63 = 214,025.60 : x
  2. Step 2: Convert to fraction form
    327,913.63/491,796.63 = 214,025.60/x
  3. Step 3: Cross multiply
    327,913.63x = 491,796.63 × 214,025.60
  4. Step 4: Simplify right side
    327,913.63x = 105,257,070,043.22
  5. Step 5: Solve for x
    x = 105,257,070,043.22/327,913.63
  6. Step 6: Final answer
    x = 320,990.23

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Why These Related Problems?

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