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Finding the Fourth Proportional to 422,575.32, 583,158.54 and 231,584.64

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Solution

The fourth proportional to 422,575.32, 583,158.54 and 231,584.64 is: 319,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,575.32 : 583,158.54 = 231,584.64 : x
  2. Step 2: Convert to fraction form
    422,575.32/583,158.54 = 231,584.64/x
  3. Step 3: Cross multiply
    422,575.32x = 583,158.54 × 231,584.64
  4. Step 4: Simplify right side
    422,575.32x = 135,050,560,548.83
  5. Step 5: Solve for x
    x = 135,050,560,548.83/422,575.32
  6. Step 6: Final answer
    x = 319,589.32

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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.