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Finding the Fourth Proportional to 297,881.76, 411,080.96 and 161,918.40

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Solution

The fourth proportional to 297,881.76, 411,080.96 and 161,918.40 is: 223,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,881.76 : 411,080.96 = 161,918.40 : x
  2. Step 2: Convert to fraction form
    297,881.76/411,080.96 = 161,918.40/x
  3. Step 3: Cross multiply
    297,881.76x = 411,080.96 × 161,918.40
  4. Step 4: Simplify right side
    297,881.76x = 66,561,571,313.66
  5. Step 5: Solve for x
    x = 66,561,571,313.66/297,881.76
  6. Step 6: Final answer
    x = 223,449.64

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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.