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Finding the Fourth Proportional to 314,628.56, 434,194.11 and 171,388.29

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Solution

The fourth proportional to 314,628.56, 434,194.11 and 171,388.29 is: 236,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,628.56 : 434,194.11 = 171,388.29 : x
  2. Step 2: Convert to fraction form
    314,628.56/434,194.11 = 171,388.29/x
  3. Step 3: Cross multiply
    314,628.56x = 434,194.11 × 171,388.29
  4. Step 4: Simplify right side
    314,628.56x = 74,415,786,040.97
  5. Step 5: Solve for x
    x = 74,415,786,040.97/314,628.56
  6. Step 6: Final answer
    x = 236,519.49

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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.