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Finding the Fourth Proportional to 308,212.60, 462,027.30 and 181,949.80

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Solution

The fourth proportional to 308,212.60, 462,027.30 and 181,949.80 is: 272,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,212.60 : 462,027.30 = 181,949.80 : x
  2. Step 2: Convert to fraction form
    308,212.60/462,027.30 = 181,949.80/x
  3. Step 3: Cross multiply
    308,212.60x = 462,027.30 × 181,949.80
  4. Step 4: Simplify right side
    308,212.60x = 84,065,774,829.54
  5. Step 5: Solve for x
    x = 84,065,774,829.54/308,212.60
  6. Step 6: Final answer
    x = 272,752.56

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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.