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Finding the Fourth Proportional to 301,358.25, 415,893.83 and 167,222.25

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Solution

The fourth proportional to 301,358.25, 415,893.83 and 167,222.25 is: 230,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,358.25 : 415,893.83 = 167,222.25 : x
  2. Step 2: Convert to fraction form
    301,358.25/415,893.83 = 167,222.25/x
  3. Step 3: Cross multiply
    301,358.25x = 415,893.83 × 167,222.25
  4. Step 4: Simplify right side
    301,358.25x = 69,546,701,177.61
  5. Step 5: Solve for x
    x = 69,546,701,177.61/301,358.25
  6. Step 6: Final answer
    x = 230,777.49

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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.