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Finding the Fourth Proportional to 301,284, 415,791.36 and 167,148

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Solution

The fourth proportional to 301,284, 415,791.36 and 167,148 is: 230,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,284 : 415,791.36 = 167,148 : x
  2. Step 2: Convert to fraction form
    301,284/415,791.36 = 167,148/x
  3. Step 3: Cross multiply
    301,284x = 415,791.36 × 167,148
  4. Step 4: Simplify right side
    301,284x = 69,498,694,241.28
  5. Step 5: Solve for x
    x = 69,498,694,241.28/301,284
  6. Step 6: Final answer
    x = 230,675.03

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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.