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Finding the Fourth Proportional to 344,850, 475,893 and 193,950.24

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Solution

The fourth proportional to 344,850, 475,893 and 193,950.24 is: 267,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,850 : 475,893 = 193,950.24 : x
  2. Step 2: Convert to fraction form
    344,850/475,893 = 193,950.24/x
  3. Step 3: Cross multiply
    344,850x = 475,893 × 193,950.24
  4. Step 4: Simplify right side
    344,850x = 92,299,561,564.32
  5. Step 5: Solve for x
    x = 92,299,561,564.32/344,850
  6. Step 6: Final answer
    x = 267,651.33

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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.