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Finding the Fourth Proportional to 300,340.62, 414,461.67 and 177,839.15

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Solution

The fourth proportional to 300,340.62, 414,461.67 and 177,839.15 is: 245,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,340.62 : 414,461.67 = 177,839.15 : x
  2. Step 2: Convert to fraction form
    300,340.62/414,461.67 = 177,839.15/x
  3. Step 3: Cross multiply
    300,340.62x = 414,461.67 × 177,839.15
  4. Step 4: Simplify right side
    300,340.62x = 73,707,511,100.38
  5. Step 5: Solve for x
    x = 73,707,511,100.38/300,340.62
  6. Step 6: Final answer
    x = 245,413.06

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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.