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Finding the Fourth Proportional to 422,691.12, 583,501.32 and 269,929.44

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Solution

The fourth proportional to 422,691.12, 583,501.32 and 269,929.44 is: 372,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,691.12 : 583,501.32 = 269,929.44 : x
  2. Step 2: Convert to fraction form
    422,691.12/583,501.32 = 269,929.44/x
  3. Step 3: Cross multiply
    422,691.12x = 583,501.32 × 269,929.44
  4. Step 4: Simplify right side
    422,691.12x = 157,504,184,546.86
  5. Step 5: Solve for x
    x = 157,504,184,546.86/422,691.12
  6. Step 6: Final answer
    x = 372,622.41

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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.