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Finding the Fourth Proportional to 308,497.41, 462,089.88 and 182,001.33

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Solution

The fourth proportional to 308,497.41, 462,089.88 and 182,001.33 is: 272,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,497.41 : 462,089.88 = 182,001.33 : x
  2. Step 2: Convert to fraction form
    308,497.41/462,089.88 = 182,001.33/x
  3. Step 3: Cross multiply
    308,497.41x = 462,089.88 × 182,001.33
  4. Step 4: Simplify right side
    308,497.41x = 84,100,972,739.54
  5. Step 5: Solve for x
    x = 84,100,972,739.54/308,497.41
  6. Step 6: Final answer
    x = 272,614.84

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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.