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Finding the Fourth Proportional to 327,925.86, 491,906.37 and 103,303.87

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Solution

The fourth proportional to 327,925.86, 491,906.37 and 103,303.87 is: 154,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,925.86 : 491,906.37 = 103,303.87 : x
  2. Step 2: Convert to fraction form
    327,925.86/491,906.37 = 103,303.87/x
  3. Step 3: Cross multiply
    327,925.86x = 491,906.37 × 103,303.87
  4. Step 4: Simplify right side
    327,925.86x = 50,815,831,698.65
  5. Step 5: Solve for x
    x = 50,815,831,698.65/327,925.86
  6. Step 6: Final answer
    x = 154,961.34

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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.