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Finding the Fourth Proportional to 422,438.36, 582,966.18 and 228,848.02

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Solution

The fourth proportional to 422,438.36, 582,966.18 and 228,848.02 is: 315,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,438.36 : 582,966.18 = 228,848.02 : x
  2. Step 2: Convert to fraction form
    422,438.36/582,966.18 = 228,848.02/x
  3. Step 3: Cross multiply
    422,438.36x = 582,966.18 × 228,848.02
  4. Step 4: Simplify right side
    422,438.36x = 133,410,654,562.55
  5. Step 5: Solve for x
    x = 133,410,654,562.55/422,438.36
  6. Step 6: Final answer
    x = 315,810.94

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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.