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Finding the Fourth Proportional to 422,999.82, 583,729.74 and 232,011.54

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Solution

The fourth proportional to 422,999.82, 583,729.74 and 232,011.54 is: 320,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,999.82 : 583,729.74 = 232,011.54 : x
  2. Step 2: Convert to fraction form
    422,999.82/583,729.74 = 232,011.54/x
  3. Step 3: Cross multiply
    422,999.82x = 583,729.74 × 232,011.54
  4. Step 4: Simplify right side
    422,999.82x = 135,432,035,921.20
  5. Step 5: Solve for x
    x = 135,432,035,921.20/422,999.82
  6. Step 6: Final answer
    x = 320,170.43

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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.