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Finding the Fourth Proportional to 422,761.58, 583,410.84 and 231,770.88

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Solution

The fourth proportional to 422,761.58, 583,410.84 and 231,770.88 is: 319,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,761.58 : 583,410.84 = 231,770.88 : x
  2. Step 2: Convert to fraction form
    422,761.58/583,410.84 = 231,770.88/x
  3. Step 3: Cross multiply
    422,761.58x = 583,410.84 × 231,770.88
  4. Step 4: Simplify right side
    422,761.58x = 135,217,643,788.34
  5. Step 5: Solve for x
    x = 135,217,643,788.34/422,761.58
  6. Step 6: Final answer
    x = 319,843.74

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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.