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Finding the Fourth Proportional to 422,175.60, 582,598.16 and 228,582.36

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Solution

The fourth proportional to 422,175.60, 582,598.16 and 228,582.36 is: 315,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,175.60 : 582,598.16 = 228,582.36 : x
  2. Step 2: Convert to fraction form
    422,175.60/582,598.16 = 228,582.36/x
  3. Step 3: Cross multiply
    422,175.60x = 582,598.16 × 228,582.36
  4. Step 4: Simplify right side
    422,175.60x = 133,171,662,344.46
  5. Step 5: Solve for x
    x = 133,171,662,344.46/422,175.60
  6. Step 6: Final answer
    x = 315,441.40

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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.