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Finding the Fourth Proportional to 422,158.40, 582,583.25 and 228,570.32

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Solution

The fourth proportional to 422,158.40, 582,583.25 and 228,570.32 is: 315,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,158.40 : 582,583.25 = 228,570.32 : x
  2. Step 2: Convert to fraction form
    422,158.40/582,583.25 = 228,570.32/x
  3. Step 3: Cross multiply
    422,158.40x = 582,583.25 × 228,570.32
  4. Step 4: Simplify right side
    422,158.40x = 133,161,241,907.02
  5. Step 5: Solve for x
    x = 133,161,241,907.02/422,158.40
  6. Step 6: Final answer
    x = 315,429.57

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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.