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Finding the Fourth Proportional to 301,333, 415,839.56 and 167,197

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Solution

The fourth proportional to 301,333, 415,839.56 and 167,197 is: 230,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,333 : 415,839.56 = 167,197 : x
  2. Step 2: Convert to fraction form
    301,333/415,839.56 = 167,197/x
  3. Step 3: Cross multiply
    301,333x = 415,839.56 × 167,197
  4. Step 4: Simplify right side
    301,333x = 69,527,126,913.32
  5. Step 5: Solve for x
    x = 69,527,126,913.32/301,333
  6. Step 6: Final answer
    x = 230,731.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.