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Finding the Fourth Proportional to 308,601.60, 462,610.80 and 182,338.80

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Solution

The fourth proportional to 308,601.60, 462,610.80 and 182,338.80 is: 273,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,601.60 : 462,610.80 = 182,338.80 : x
  2. Step 2: Convert to fraction form
    308,601.60/462,610.80 = 182,338.80/x
  3. Step 3: Cross multiply
    308,601.60x = 462,610.80 × 182,338.80
  4. Step 4: Simplify right side
    308,601.60x = 84,351,898,139.04
  5. Step 5: Solve for x
    x = 84,351,898,139.04/308,601.60
  6. Step 6: Final answer
    x = 273,335.91

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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.