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Finding the Fourth Proportional to 294,203.34, 405,891.14 and 179,442.27

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Solution

The fourth proportional to 294,203.34, 405,891.14 and 179,442.27 is: 247,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,203.34 : 405,891.14 = 179,442.27 : x
  2. Step 2: Convert to fraction form
    294,203.34/405,891.14 = 179,442.27/x
  3. Step 3: Cross multiply
    294,203.34x = 405,891.14 × 179,442.27
  4. Step 4: Simplify right side
    294,203.34x = 72,834,026,637.28
  5. Step 5: Solve for x
    x = 72,834,026,637.28/294,203.34
  6. Step 6: Final answer
    x = 247,563.56

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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.