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Finding the Fourth Proportional to 327,089.53, 490,634.30 and 102,451.83

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Solution

The fourth proportional to 327,089.53, 490,634.30 and 102,451.83 is: 153,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,089.53 : 490,634.30 = 102,451.83 : x
  2. Step 2: Convert to fraction form
    327,089.53/490,634.30 = 102,451.83/x
  3. Step 3: Cross multiply
    327,089.53x = 490,634.30 × 102,451.83
  4. Step 4: Simplify right side
    327,089.53x = 50,266,381,895.77
  5. Step 5: Solve for x
    x = 50,266,381,895.77/327,089.53
  6. Step 6: Final answer
    x = 153,677.75

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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.