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Finding the Fourth Proportional to 308,814.93, 462,910.55 and 148,655.66

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Solution

The fourth proportional to 308,814.93, 462,910.55 and 148,655.66 is: 222,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,814.93 : 462,910.55 = 148,655.66 : x
  2. Step 2: Convert to fraction form
    308,814.93/462,910.55 = 148,655.66/x
  3. Step 3: Cross multiply
    308,814.93x = 462,910.55 × 148,655.66
  4. Step 4: Simplify right side
    308,814.93x = 68,814,270,273.38
  5. Step 5: Solve for x
    x = 68,814,270,273.38/308,814.93
  6. Step 6: Final answer
    x = 222,833.37

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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.