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Finding the Fourth Proportional to 297,883.22, 411,081.76 and 161,917.08

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Solution

The fourth proportional to 297,883.22, 411,081.76 and 161,917.08 is: 223,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,883.22 : 411,081.76 = 161,917.08 : x
  2. Step 2: Convert to fraction form
    297,883.22/411,081.76 = 161,917.08/x
  3. Step 3: Cross multiply
    297,883.22x = 411,081.76 × 161,917.08
  4. Step 4: Simplify right side
    297,883.22x = 66,561,158,220.46
  5. Step 5: Solve for x
    x = 66,561,158,220.46/297,883.22
  6. Step 6: Final answer
    x = 223,447.16

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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.