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Finding the Fourth Proportional to 422,306.10, 582,779.52 and 228,709.35

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Solution

The fourth proportional to 422,306.10, 582,779.52 and 228,709.35 is: 315,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,306.10 : 582,779.52 = 228,709.35 : x
  2. Step 2: Convert to fraction form
    422,306.10/582,779.52 = 228,709.35/x
  3. Step 3: Cross multiply
    422,306.10x = 582,779.52 × 228,709.35
  4. Step 4: Simplify right side
    422,306.10x = 133,287,125,212.51
  5. Step 5: Solve for x
    x = 133,287,125,212.51/422,306.10
  6. Step 6: Final answer
    x = 315,617.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.