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Finding the Fourth Proportional to 386,847.60, 580,271.40 and 254,137.20

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Solution

The fourth proportional to 386,847.60, 580,271.40 and 254,137.20 is: 381,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,847.60 : 580,271.40 = 254,137.20 : x
  2. Step 2: Convert to fraction form
    386,847.60/580,271.40 = 254,137.20/x
  3. Step 3: Cross multiply
    386,847.60x = 580,271.40 × 254,137.20
  4. Step 4: Simplify right side
    386,847.60x = 147,468,548,836.08
  5. Step 5: Solve for x
    x = 147,468,548,836.08/386,847.60
  6. Step 6: Final answer
    x = 381,205.80

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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.