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Finding the Fourth Proportional to 298,486.42, 411,940.32 and 222,903.70

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Solution

The fourth proportional to 298,486.42, 411,940.32 and 222,903.70 is: 307,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,486.42 : 411,940.32 = 222,903.70 : x
  2. Step 2: Convert to fraction form
    298,486.42/411,940.32 = 222,903.70/x
  3. Step 3: Cross multiply
    298,486.42x = 411,940.32 × 222,903.70
  4. Step 4: Simplify right side
    298,486.42x = 91,823,021,507.18
  5. Step 5: Solve for x
    x = 91,823,021,507.18/298,486.42
  6. Step 6: Final answer
    x = 307,628.81

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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.