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Finding the Fourth Proportional to 471,161.88, 706,474.26 and 321,583.23

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Solution

The fourth proportional to 471,161.88, 706,474.26 and 321,583.23 is: 482,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,161.88 : 706,474.26 = 321,583.23 : x
  2. Step 2: Convert to fraction form
    471,161.88/706,474.26 = 321,583.23/x
  3. Step 3: Cross multiply
    471,161.88x = 706,474.26 × 321,583.23
  4. Step 4: Simplify right side
    471,161.88x = 227,190,274,442.66
  5. Step 5: Solve for x
    x = 227,190,274,442.66/471,161.88
  6. Step 6: Final answer
    x = 482,191.54

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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.