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Finding the Fourth Proportional to 308,189.67, 462,042.22 and 207,090.33

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Solution

The fourth proportional to 308,189.67, 462,042.22 and 207,090.33 is: 310,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,189.67 : 462,042.22 = 207,090.33 : x
  2. Step 2: Convert to fraction form
    308,189.67/462,042.22 = 207,090.33/x
  3. Step 3: Cross multiply
    308,189.67x = 462,042.22 × 207,090.33
  4. Step 4: Simplify right side
    308,189.67x = 95,684,475,813.73
  5. Step 5: Solve for x
    x = 95,684,475,813.73/308,189.67
  6. Step 6: Final answer
    x = 310,472.69

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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.