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Finding the Fourth Proportional to 414,388.32, 571,906.48 and 233,107.88

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Solution

The fourth proportional to 414,388.32, 571,906.48 and 233,107.88 is: 321,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,388.32 : 571,906.48 = 233,107.88 : x
  2. Step 2: Convert to fraction form
    414,388.32/571,906.48 = 233,107.88/x
  3. Step 3: Cross multiply
    414,388.32x = 571,906.48 × 233,107.88
  4. Step 4: Simplify right side
    414,388.32x = 133,315,907,111.06
  5. Step 5: Solve for x
    x = 133,315,907,111.06/414,388.32
  6. Step 6: Final answer
    x = 321,717.34

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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.