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Finding the Fourth Proportional to 327,204.57, 490,792.58 and 102,559.88

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Solution

The fourth proportional to 327,204.57, 490,792.58 and 102,559.88 is: 153,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,204.57 : 490,792.58 = 102,559.88 : x
  2. Step 2: Convert to fraction form
    327,204.57/490,792.58 = 102,559.88/x
  3. Step 3: Cross multiply
    327,204.57x = 490,792.58 × 102,559.88
  4. Step 4: Simplify right side
    327,204.57x = 50,335,628,823.87
  5. Step 5: Solve for x
    x = 50,335,628,823.87/327,204.57
  6. Step 6: Final answer
    x = 153,835.35

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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.