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Finding the Fourth Proportional to 297,847.40, 411,031.68 and 161,881.40

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Solution

The fourth proportional to 297,847.40, 411,031.68 and 161,881.40 is: 223,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,847.40 : 411,031.68 = 161,881.40 : x
  2. Step 2: Convert to fraction form
    297,847.40/411,031.68 = 161,881.40/x
  3. Step 3: Cross multiply
    297,847.40x = 411,031.68 × 161,881.40
  4. Step 4: Simplify right side
    297,847.40x = 66,538,383,802.75
  5. Step 5: Solve for x
    x = 66,538,383,802.75/297,847.40
  6. Step 6: Final answer
    x = 223,397.56

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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.