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Finding the Fourth Proportional to 298,945.69, 412,561.45 and 171,629.48

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Solution

The fourth proportional to 298,945.69, 412,561.45 and 171,629.48 is: 236,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,945.69 : 412,561.45 = 171,629.48 : x
  2. Step 2: Convert to fraction form
    298,945.69/412,561.45 = 171,629.48/x
  3. Step 3: Cross multiply
    298,945.69x = 412,561.45 × 171,629.48
  4. Step 4: Simplify right side
    298,945.69x = 70,807,708,377.49
  5. Step 5: Solve for x
    x = 70,807,708,377.49/298,945.69
  6. Step 6: Final answer
    x = 236,858.10

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