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Finding the Fourth Proportional to 294,087.44, 405,769.92 and 173,219.24

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Solution

The fourth proportional to 294,087.44, 405,769.92 and 173,219.24 is: 239,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,087.44 : 405,769.92 = 173,219.24 : x
  2. Step 2: Convert to fraction form
    294,087.44/405,769.92 = 173,219.24/x
  3. Step 3: Cross multiply
    294,087.44x = 405,769.92 × 173,219.24
  4. Step 4: Simplify right side
    294,087.44x = 70,287,157,157.26
  5. Step 5: Solve for x
    x = 70,287,157,157.26/294,087.44
  6. Step 6: Final answer
    x = 239,000.88

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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.