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Finding the Fourth Proportional to 327,089.89, 490,634.44 and 102,467.82

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Solution

The fourth proportional to 327,089.89, 490,634.44 and 102,467.82 is: 153,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,089.89 : 490,634.44 = 102,467.82 : x
  2. Step 2: Convert to fraction form
    327,089.89/490,634.44 = 102,467.82/x
  3. Step 3: Cross multiply
    327,089.89x = 490,634.44 × 102,467.82
  4. Step 4: Simplify right side
    327,089.89x = 50,274,241,483.72
  5. Step 5: Solve for x
    x = 50,274,241,483.72/327,089.89
  6. Step 6: Final answer
    x = 153,701.61

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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.