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Finding the Fourth Proportional to 327,926.86, 491,907.87 and 103,304.87

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Solution

The fourth proportional to 327,926.86, 491,907.87 and 103,304.87 is: 154,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,926.86 : 491,907.87 = 103,304.87 : x
  2. Step 2: Convert to fraction form
    327,926.86/491,907.87 = 103,304.87/x
  3. Step 3: Cross multiply
    327,926.86x = 491,907.87 × 103,304.87
  4. Step 4: Simplify right side
    327,926.86x = 50,816,478,562.33
  5. Step 5: Solve for x
    x = 50,816,478,562.33/327,926.86
  6. Step 6: Final answer
    x = 154,962.84

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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.