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Finding the Fourth Proportional to 234,577, 323,716.26 and 128,593

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Solution

The fourth proportional to 234,577, 323,716.26 and 128,593 is: 177,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,577 : 323,716.26 = 128,593 : x
  2. Step 2: Convert to fraction form
    234,577/323,716.26 = 128,593/x
  3. Step 3: Cross multiply
    234,577x = 323,716.26 × 128,593
  4. Step 4: Simplify right side
    234,577x = 41,627,645,022.18
  5. Step 5: Solve for x
    x = 41,627,645,022.18/234,577
  6. Step 6: Final answer
    x = 177,458.34

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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.