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Finding the Fourth Proportional to 384,375.48, 576,235.17 and 271,701.24

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Solution

The fourth proportional to 384,375.48, 576,235.17 and 271,701.24 is: 407,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,375.48 : 576,235.17 = 271,701.24 : x
  2. Step 2: Convert to fraction form
    384,375.48/576,235.17 = 271,701.24/x
  3. Step 3: Cross multiply
    384,375.48x = 576,235.17 × 271,701.24
  4. Step 4: Simplify right side
    384,375.48x = 156,563,810,220.61
  5. Step 5: Solve for x
    x = 156,563,810,220.61/384,375.48
  6. Step 6: Final answer
    x = 407,319.97

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Why These Related Problems?

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