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Finding the Fourth Proportional to 422,835.60, 583,512.84 and 231,852.08

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Solution

The fourth proportional to 422,835.60, 583,512.84 and 231,852.08 is: 319,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,835.60 : 583,512.84 = 231,852.08 : x
  2. Step 2: Convert to fraction form
    422,835.60/583,512.84 = 231,852.08/x
  3. Step 3: Cross multiply
    422,835.60x = 583,512.84 × 231,852.08
  4. Step 4: Simplify right side
    422,835.60x = 135,288,665,660.71
  5. Step 5: Solve for x
    x = 135,288,665,660.71/422,835.60
  6. Step 6: Final answer
    x = 319,955.71

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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.