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Finding the Fourth Proportional to 297,823.52, 410,998.08 and 161,858.56

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Solution

The fourth proportional to 297,823.52, 410,998.08 and 161,858.56 is: 223,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,823.52 : 410,998.08 = 161,858.56 : x
  2. Step 2: Convert to fraction form
    297,823.52/410,998.08 = 161,858.56/x
  3. Step 3: Cross multiply
    297,823.52x = 410,998.08 × 161,858.56
  4. Step 4: Simplify right side
    297,823.52x = 66,523,557,391.56
  5. Step 5: Solve for x
    x = 66,523,557,391.56/297,823.52
  6. Step 6: Final answer
    x = 223,365.69

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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.