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Finding the Fourth Proportional to 422,146.90, 582,541.05 and 231,123.37

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Solution

The fourth proportional to 422,146.90, 582,541.05 and 231,123.37 is: 318,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,146.90 : 582,541.05 = 231,123.37 : x
  2. Step 2: Convert to fraction form
    422,146.90/582,541.05 = 231,123.37/x
  3. Step 3: Cross multiply
    422,146.90x = 582,541.05 × 231,123.37
  4. Step 4: Simplify right side
    422,146.90x = 134,638,850,639.34
  5. Step 5: Solve for x
    x = 134,638,850,639.34/422,146.90
  6. Step 6: Final answer
    x = 318,938.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.