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Finding the Fourth Proportional to 300,338.62, 414,458.91 and 177,837.15

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Solution

The fourth proportional to 300,338.62, 414,458.91 and 177,837.15 is: 245,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,338.62 : 414,458.91 = 177,837.15 : x
  2. Step 2: Convert to fraction form
    300,338.62/414,458.91 = 177,837.15/x
  3. Step 3: Cross multiply
    300,338.62x = 414,458.91 × 177,837.15
  4. Step 4: Simplify right side
    300,338.62x = 73,706,192,900.73
  5. Step 5: Solve for x
    x = 73,706,192,900.73/300,338.62
  6. Step 6: Final answer
    x = 245,410.31

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1.5x scale

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.