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Finding the Fourth Proportional to 422,293.23, 633,501.63 and 122,734.80

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Solution

The fourth proportional to 422,293.23, 633,501.63 and 122,734.80 is: 184,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,293.23 : 633,501.63 = 122,734.80 : x
  2. Step 2: Convert to fraction form
    422,293.23/633,501.63 = 122,734.80/x
  3. Step 3: Cross multiply
    422,293.23x = 633,501.63 × 122,734.80
  4. Step 4: Simplify right side
    422,293.23x = 77,752,695,857.72
  5. Step 5: Solve for x
    x = 77,752,695,857.72/422,293.23
  6. Step 6: Final answer
    x = 184,120.16

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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.