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Finding the Fourth Proportional to 327,076.80, 490,615.20 and 314,635.20

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Solution

The fourth proportional to 327,076.80, 490,615.20 and 314,635.20 is: 471,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,076.80 : 490,615.20 = 314,635.20 : x
  2. Step 2: Convert to fraction form
    327,076.80/490,615.20 = 314,635.20/x
  3. Step 3: Cross multiply
    327,076.80x = 490,615.20 × 314,635.20
  4. Step 4: Simplify right side
    327,076.80x = 154,364,811,575.04
  5. Step 5: Solve for x
    x = 154,364,811,575.04/327,076.80
  6. Step 6: Final answer
    x = 471,952.80

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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.