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Finding the Fourth Proportional to 300,467.82, 414,668.62 and 171,409.14

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Solution

The fourth proportional to 300,467.82, 414,668.62 and 171,409.14 is: 236,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,467.82 : 414,668.62 = 171,409.14 : x
  2. Step 2: Convert to fraction form
    300,467.82/414,668.62 = 171,409.14/x
  3. Step 3: Cross multiply
    300,467.82x = 414,668.62 × 171,409.14
  4. Step 4: Simplify right side
    300,467.82x = 71,077,991,539.19
  5. Step 5: Solve for x
    x = 71,077,991,539.19/300,467.82
  6. Step 6: Final answer
    x = 236,557.75

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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.