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Finding the Fourth Proportional to 327,309.90, 490,809.72 and 114,003.42

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Solution

The fourth proportional to 327,309.90, 490,809.72 and 114,003.42 is: 170,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,309.90 : 490,809.72 = 114,003.42 : x
  2. Step 2: Convert to fraction form
    327,309.90/490,809.72 = 114,003.42/x
  3. Step 3: Cross multiply
    327,309.90x = 490,809.72 × 114,003.42
  4. Step 4: Simplify right side
    327,309.90x = 55,953,986,649.24
  5. Step 5: Solve for x
    x = 55,953,986,649.24/327,309.90
  6. Step 6: Final answer
    x = 170,951.10

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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.