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Finding the Fourth Proportional to 325,632.20, 488,448.30 and 207,825.80

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Solution

The fourth proportional to 325,632.20, 488,448.30 and 207,825.80 is: 311,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,632.20 : 488,448.30 = 207,825.80 : x
  2. Step 2: Convert to fraction form
    325,632.20/488,448.30 = 207,825.80/x
  3. Step 3: Cross multiply
    325,632.20x = 488,448.30 × 207,825.80
  4. Step 4: Simplify right side
    325,632.20x = 101,512,158,706.14
  5. Step 5: Solve for x
    x = 101,512,158,706.14/325,632.20
  6. Step 6: Final answer
    x = 311,738.70

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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.