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Finding the Fourth Proportional to 397,228.20, 595,842.30 and 229,266.60

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Solution

The fourth proportional to 397,228.20, 595,842.30 and 229,266.60 is: 343,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,228.20 : 595,842.30 = 229,266.60 : x
  2. Step 2: Convert to fraction form
    397,228.20/595,842.30 = 229,266.60/x
  3. Step 3: Cross multiply
    397,228.20x = 595,842.30 × 229,266.60
  4. Step 4: Simplify right side
    397,228.20x = 136,606,738,257.18
  5. Step 5: Solve for x
    x = 136,606,738,257.18/397,228.20
  6. Step 6: Final answer
    x = 343,899.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.