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Finding the Fourth Proportional to 327,930.86, 491,913.87 and 103,308.87

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Solution

The fourth proportional to 327,930.86, 491,913.87 and 103,308.87 is: 154,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,930.86 : 491,913.87 = 103,308.87 : x
  2. Step 2: Convert to fraction form
    327,930.86/491,913.87 = 103,308.87/x
  3. Step 3: Cross multiply
    327,930.86x = 491,913.87 × 103,308.87
  4. Step 4: Simplify right side
    327,930.86x = 50,819,066,047.03
  5. Step 5: Solve for x
    x = 50,819,066,047.03/327,930.86
  6. Step 6: Final answer
    x = 154,968.84

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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.