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Finding the Fourth Proportional to 297,059.61, 409,942.37 and 161,093.52

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Solution

The fourth proportional to 297,059.61, 409,942.37 and 161,093.52 is: 222,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,059.61 : 409,942.37 = 161,093.52 : x
  2. Step 2: Convert to fraction form
    297,059.61/409,942.37 = 161,093.52/x
  3. Step 3: Cross multiply
    297,059.61x = 409,942.37 × 161,093.52
  4. Step 4: Simplify right side
    297,059.61x = 66,039,059,783.18
  5. Step 5: Solve for x
    x = 66,039,059,783.18/297,059.61
  6. Step 6: Final answer
    x = 222,309.11

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Why These Related Problems?

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