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Finding the Fourth Proportional to 327,458.50, 491,343.27 and 105,842.50

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Solution

The fourth proportional to 327,458.50, 491,343.27 and 105,842.50 is: 158,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,458.50 : 491,343.27 = 105,842.50 : x
  2. Step 2: Convert to fraction form
    327,458.50/491,343.27 = 105,842.50/x
  3. Step 3: Cross multiply
    327,458.50x = 491,343.27 × 105,842.50
  4. Step 4: Simplify right side
    327,458.50x = 52,005,000,054.98
  5. Step 5: Solve for x
    x = 52,005,000,054.98/327,458.50
  6. Step 6: Final answer
    x = 158,814.02

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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.