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Finding the Fourth Proportional to 471,186.80, 706,512.48 and 321,608.16

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Solution

The fourth proportional to 471,186.80, 706,512.48 and 321,608.16 is: 482,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,186.80 : 706,512.48 = 321,608.16 : x
  2. Step 2: Convert to fraction form
    471,186.80/706,512.48 = 321,608.16/x
  3. Step 3: Cross multiply
    471,186.80x = 706,512.48 × 321,608.16
  4. Step 4: Simplify right side
    471,186.80x = 227,220,178,709.84
  5. Step 5: Solve for x
    x = 227,220,178,709.84/471,186.80
  6. Step 6: Final answer
    x = 482,229.51

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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.