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Finding the Fourth Proportional to 297,956.88, 411,172.20 and 161,984.88

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Solution

The fourth proportional to 297,956.88, 411,172.20 and 161,984.88 is: 223,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,956.88 : 411,172.20 = 161,984.88 : x
  2. Step 2: Convert to fraction form
    297,956.88/411,172.20 = 161,984.88/x
  3. Step 3: Cross multiply
    297,956.88x = 411,172.20 × 161,984.88
  4. Step 4: Simplify right side
    297,956.88x = 66,603,679,476.34
  5. Step 5: Solve for x
    x = 66,603,679,476.34/297,956.88
  6. Step 6: Final answer
    x = 223,534.63

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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.