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Finding the Fourth Proportional to 422,516.44, 633,776.10 and 106,973.20

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Solution

The fourth proportional to 422,516.44, 633,776.10 and 106,973.20 is: 160,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,516.44 : 633,776.10 = 106,973.20 : x
  2. Step 2: Convert to fraction form
    422,516.44/633,776.10 = 106,973.20/x
  3. Step 3: Cross multiply
    422,516.44x = 633,776.10 × 106,973.20
  4. Step 4: Simplify right side
    422,516.44x = 67,797,057,500.52
  5. Step 5: Solve for x
    x = 67,797,057,500.52/422,516.44
  6. Step 6: Final answer
    x = 160,460.16

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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.