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Finding the Fourth Proportional to 297,823.62, 410,998.78 and 161,858.10

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Solution

The fourth proportional to 297,823.62, 410,998.78 and 161,858.10 is: 223,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,823.62 : 410,998.78 = 161,858.10 : x
  2. Step 2: Convert to fraction form
    297,823.62/410,998.78 = 161,858.10/x
  3. Step 3: Cross multiply
    297,823.62x = 410,998.78 × 161,858.10
  4. Step 4: Simplify right side
    297,823.62x = 66,523,479,578.12
  5. Step 5: Solve for x
    x = 66,523,479,578.12/297,823.62
  6. Step 6: Final answer
    x = 223,365.36

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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.