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Finding the Fourth Proportional to 300,377, 414,521.48 and 166,241

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Solution

The fourth proportional to 300,377, 414,521.48 and 166,241 is: 229,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,377 : 414,521.48 = 166,241 : x
  2. Step 2: Convert to fraction form
    300,377/414,521.48 = 166,241/x
  3. Step 3: Cross multiply
    300,377x = 414,521.48 × 166,241
  4. Step 4: Simplify right side
    300,377x = 68,910,465,356.68
  5. Step 5: Solve for x
    x = 68,910,465,356.68/300,377
  6. Step 6: Final answer
    x = 229,413.26

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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.