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Finding the Fourth Proportional to 297,884.58, 411,083.16 and 161,918.48

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Solution

The fourth proportional to 297,884.58, 411,083.16 and 161,918.48 is: 223,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,884.58 : 411,083.16 = 161,918.48 : x
  2. Step 2: Convert to fraction form
    297,884.58/411,083.16 = 161,918.48/x
  3. Step 3: Cross multiply
    297,884.58x = 411,083.16 × 161,918.48
  4. Step 4: Simplify right side
    297,884.58x = 66,561,960,420.80
  5. Step 5: Solve for x
    x = 66,561,960,420.80/297,884.58
  6. Step 6: Final answer
    x = 223,448.83

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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.