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Finding the Fourth Proportional to 361,013.97, 541,533.52 and 171,376.65

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Solution

The fourth proportional to 361,013.97, 541,533.52 and 171,376.65 is: 257,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,013.97 : 541,533.52 = 171,376.65 : x
  2. Step 2: Convert to fraction form
    361,013.97/541,533.52 = 171,376.65/x
  3. Step 3: Cross multiply
    361,013.97x = 541,533.52 × 171,376.65
  4. Step 4: Simplify right side
    361,013.97x = 92,806,200,734.53
  5. Step 5: Solve for x
    x = 92,806,200,734.53/361,013.97
  6. Step 6: Final answer
    x = 257,070.94

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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.