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Finding the Fourth Proportional to 422,159.34, 582,580.15 and 228,568.74

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Solution

The fourth proportional to 422,159.34, 582,580.15 and 228,568.74 is: 315,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,159.34 : 582,580.15 = 228,568.74 : x
  2. Step 2: Convert to fraction form
    422,159.34/582,580.15 = 228,568.74/x
  3. Step 3: Cross multiply
    422,159.34x = 582,580.15 × 228,568.74
  4. Step 4: Simplify right side
    422,159.34x = 133,159,608,078.41
  5. Step 5: Solve for x
    x = 133,159,608,078.41/422,159.34
  6. Step 6: Final answer
    x = 315,424.99

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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.