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Finding the Fourth Proportional to 298,494.42, 411,951.36 and 222,911.70

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Solution

The fourth proportional to 298,494.42, 411,951.36 and 222,911.70 is: 307,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,494.42 : 411,951.36 = 222,911.70 : x
  2. Step 2: Convert to fraction form
    298,494.42/411,951.36 = 222,911.70/x
  3. Step 3: Cross multiply
    298,494.42x = 411,951.36 × 222,911.70
  4. Step 4: Simplify right side
    298,494.42x = 91,828,777,974.91
  5. Step 5: Solve for x
    x = 91,828,777,974.91/298,494.42
  6. Step 6: Final answer
    x = 307,639.85

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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.