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Finding the Fourth Proportional to 381,213.60, 571,820.40 and 171,261.60

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Solution

The fourth proportional to 381,213.60, 571,820.40 and 171,261.60 is: 256,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,213.60 : 571,820.40 = 171,261.60 : x
  2. Step 2: Convert to fraction form
    381,213.60/571,820.40 = 171,261.60/x
  3. Step 3: Cross multiply
    381,213.60x = 571,820.40 × 171,261.60
  4. Step 4: Simplify right side
    381,213.60x = 97,930,876,616.64
  5. Step 5: Solve for x
    x = 97,930,876,616.64/381,213.60
  6. Step 6: Final answer
    x = 256,892.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.