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Finding the Fourth Proportional to 297,464.48, 410,498.08 and 161,495.48

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Solution

The fourth proportional to 297,464.48, 410,498.08 and 161,495.48 is: 222,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,464.48 : 410,498.08 = 161,495.48 : x
  2. Step 2: Convert to fraction form
    297,464.48/410,498.08 = 161,495.48/x
  3. Step 3: Cross multiply
    297,464.48x = 410,498.08 × 161,495.48
  4. Step 4: Simplify right side
    297,464.48x = 66,293,584,468.68
  5. Step 5: Solve for x
    x = 66,293,584,468.68/297,464.48
  6. Step 6: Final answer
    x = 222,862.19

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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.