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Finding the Fourth Proportional to 298,067.90, 411,338.54 and 162,104.54

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Solution

The fourth proportional to 298,067.90, 411,338.54 and 162,104.54 is: 223,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,067.90 : 411,338.54 = 162,104.54 : x
  2. Step 2: Convert to fraction form
    298,067.90/411,338.54 = 162,104.54/x
  3. Step 3: Cross multiply
    298,067.90x = 411,338.54 × 162,104.54
  4. Step 4: Simplify right side
    298,067.90x = 66,679,844,000.45
  5. Step 5: Solve for x
    x = 66,679,844,000.45/298,067.90
  6. Step 6: Final answer
    x = 223,706.89

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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.