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Finding the Fourth Proportional to 327,590.60, 491,388.62 and 102,946.01

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Solution

The fourth proportional to 327,590.60, 491,388.62 and 102,946.01 is: 154,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,590.60 : 491,388.62 = 102,946.01 : x
  2. Step 2: Convert to fraction form
    327,590.60/491,388.62 = 102,946.01/x
  3. Step 3: Cross multiply
    327,590.60x = 491,388.62 × 102,946.01
  4. Step 4: Simplify right side
    327,590.60x = 50,586,494,816.73
  5. Step 5: Solve for x
    x = 50,586,494,816.73/327,590.60
  6. Step 6: Final answer
    x = 154,419.86

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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.