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Finding the Fourth Proportional to 422,524.54, 583,098 and 231,536.26

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Solution

The fourth proportional to 422,524.54, 583,098 and 231,536.26 is: 319,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,524.54 : 583,098 = 231,536.26 : x
  2. Step 2: Convert to fraction form
    422,524.54/583,098 = 231,536.26/x
  3. Step 3: Cross multiply
    422,524.54x = 583,098 × 231,536.26
  4. Step 4: Simplify right side
    422,524.54x = 135,008,330,133.48
  5. Step 5: Solve for x
    x = 135,008,330,133.48/422,524.54
  6. Step 6: Final answer
    x = 319,527.78

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1.5x scale

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.