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Finding the Fourth Proportional to 422,022.76, 633,031.40 and 106,479.97

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Solution

The fourth proportional to 422,022.76, 633,031.40 and 106,479.97 is: 159,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,022.76 : 633,031.40 = 106,479.97 : x
  2. Step 2: Convert to fraction form
    422,022.76/633,031.40 = 106,479.97/x
  3. Step 3: Cross multiply
    422,022.76x = 633,031.40 × 106,479.97
  4. Step 4: Simplify right side
    422,022.76x = 67,405,163,164.68
  5. Step 5: Solve for x
    x = 67,405,163,164.68/422,022.76
  6. Step 6: Final answer
    x = 159,719.26

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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.