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Finding the Fourth Proportional to 231,883.40, 347,825.10 and 212,443.40

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Solution

The fourth proportional to 231,883.40, 347,825.10 and 212,443.40 is: 318,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,883.40 : 347,825.10 = 212,443.40 : x
  2. Step 2: Convert to fraction form
    231,883.40/347,825.10 = 212,443.40/x
  3. Step 3: Cross multiply
    231,883.40x = 347,825.10 × 212,443.40
  4. Step 4: Simplify right side
    231,883.40x = 73,893,146,849.34
  5. Step 5: Solve for x
    x = 73,893,146,849.34/231,883.40
  6. Step 6: Final answer
    x = 318,665.10

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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.