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Finding the Fourth Proportional to 308,132.40, 462,198.60 and 260,893.20

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Solution

The fourth proportional to 308,132.40, 462,198.60 and 260,893.20 is: 391,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132.40 : 462,198.60 = 260,893.20 : x
  2. Step 2: Convert to fraction form
    308,132.40/462,198.60 = 260,893.20/x
  3. Step 3: Cross multiply
    308,132.40x = 462,198.60 × 260,893.20
  4. Step 4: Simplify right side
    308,132.40x = 120,584,471,789.52
  5. Step 5: Solve for x
    x = 120,584,471,789.52/308,132.40
  6. Step 6: Final answer
    x = 391,339.80

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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.