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Finding the Fourth Proportional to 416,622.43, 574,950.77 and 235,342

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Solution

The fourth proportional to 416,622.43, 574,950.77 and 235,342 is: 324,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,622.43 : 574,950.77 = 235,342 : x
  2. Step 2: Convert to fraction form
    416,622.43/574,950.77 = 235,342/x
  3. Step 3: Cross multiply
    416,622.43x = 574,950.77 × 235,342
  4. Step 4: Simplify right side
    416,622.43x = 135,310,062,936.63
  5. Step 5: Solve for x
    x = 135,310,062,936.63/416,622.43
  6. Step 6: Final answer
    x = 324,778.63

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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.