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Finding the Fourth Proportional to 301,334, 415,853.88 and 167,198

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Solution

The fourth proportional to 301,334, 415,853.88 and 167,198 is: 230,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,334 : 415,853.88 = 167,198 : x
  2. Step 2: Convert to fraction form
    301,334/415,853.88 = 167,198/x
  3. Step 3: Cross multiply
    301,334x = 415,853.88 × 167,198
  4. Step 4: Simplify right side
    301,334x = 69,529,937,028.24
  5. Step 5: Solve for x
    x = 69,529,937,028.24/301,334
  6. Step 6: Final answer
    x = 230,740.43

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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.