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Finding the Fourth Proportional to 489,023.82, 733,473.36 and 189,299.34

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Solution

The fourth proportional to 489,023.82, 733,473.36 and 189,299.34 is: 283,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,023.82 : 733,473.36 = 189,299.34 : x
  2. Step 2: Convert to fraction form
    489,023.82/733,473.36 = 189,299.34/x
  3. Step 3: Cross multiply
    489,023.82x = 733,473.36 × 189,299.34
  4. Step 4: Simplify right side
    489,023.82x = 138,846,022,955.58
  5. Step 5: Solve for x
    x = 138,846,022,955.58/489,023.82
  6. Step 6: Final answer
    x = 283,924.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.