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Finding the Fourth Proportional to 327,881.20, 492,282.60 and 203,465.20

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Solution

The fourth proportional to 327,881.20, 492,282.60 and 203,465.20 is: 305,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,881.20 : 492,282.60 = 203,465.20 : x
  2. Step 2: Convert to fraction form
    327,881.20/492,282.60 = 203,465.20/x
  3. Step 3: Cross multiply
    327,881.20x = 492,282.60 × 203,465.20
  4. Step 4: Simplify right side
    327,881.20x = 100,162,377,665.52
  5. Step 5: Solve for x
    x = 100,162,377,665.52/327,881.20
  6. Step 6: Final answer
    x = 305,483.75

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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.