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Finding the Fourth Proportional to 381,720.42, 572,493.15 and 171,418.50

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Solution

The fourth proportional to 381,720.42, 572,493.15 and 171,418.50 is: 257,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,720.42 : 572,493.15 = 171,418.50 : x
  2. Step 2: Convert to fraction form
    381,720.42/572,493.15 = 171,418.50/x
  3. Step 3: Cross multiply
    381,720.42x = 572,493.15 × 171,418.50
  4. Step 4: Simplify right side
    381,720.42x = 98,135,917,033.28
  5. Step 5: Solve for x
    x = 98,135,917,033.28/381,720.42
  6. Step 6: Final answer
    x = 257,088.47

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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.