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Finding the Fourth Proportional to 301,825, 416,531.46 and 167,689

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Solution

The fourth proportional to 301,825, 416,531.46 and 167,689 is: 231,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,825 : 416,531.46 = 167,689 : x
  2. Step 2: Convert to fraction form
    301,825/416,531.46 = 167,689/x
  3. Step 3: Cross multiply
    301,825x = 416,531.46 × 167,689
  4. Step 4: Simplify right side
    301,825x = 69,847,743,995.94
  5. Step 5: Solve for x
    x = 69,847,743,995.94/301,825
  6. Step 6: Final answer
    x = 231,418.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.