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Finding the Fourth Proportional to 338,999.48, 467,812.14 and 188,093.24

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Solution

The fourth proportional to 338,999.48, 467,812.14 and 188,093.24 is: 259,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,999.48 : 467,812.14 = 188,093.24 : x
  2. Step 2: Convert to fraction form
    338,999.48/467,812.14 = 188,093.24/x
  3. Step 3: Cross multiply
    338,999.48x = 467,812.14 × 188,093.24
  4. Step 4: Simplify right side
    338,999.48x = 87,992,301,123.93
  5. Step 5: Solve for x
    x = 87,992,301,123.93/338,999.48
  6. Step 6: Final answer
    x = 259,564.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.