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Finding the Fourth Proportional to 422,546.63, 583,114.34 and 231,564.42

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Solution

The fourth proportional to 422,546.63, 583,114.34 and 231,564.42 is: 319,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,546.63 : 583,114.34 = 231,564.42 : x
  2. Step 2: Convert to fraction form
    422,546.63/583,114.34 = 231,564.42/x
  3. Step 3: Cross multiply
    422,546.63x = 583,114.34 × 231,564.42
  4. Step 4: Simplify right side
    422,546.63x = 135,028,534,514.69
  5. Step 5: Solve for x
    x = 135,028,534,514.69/422,546.63
  6. Step 6: Final answer
    x = 319,558.90

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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.