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Finding the Fourth Proportional to 422,754.30, 583,400.28 and 231,779.91

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Solution

The fourth proportional to 422,754.30, 583,400.28 and 231,779.91 is: 319,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,754.30 : 583,400.28 = 231,779.91 : x
  2. Step 2: Convert to fraction form
    422,754.30/583,400.28 = 231,779.91/x
  3. Step 3: Cross multiply
    422,754.30x = 583,400.28 × 231,779.91
  4. Step 4: Simplify right side
    422,754.30x = 135,220,464,392.38
  5. Step 5: Solve for x
    x = 135,220,464,392.38/422,754.30
  6. Step 6: Final answer
    x = 319,855.92

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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.