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Finding the Fourth Proportional to 422,537.44, 583,096.69 and 228,941.36

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Solution

The fourth proportional to 422,537.44, 583,096.69 and 228,941.36 is: 315,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,537.44 : 583,096.69 = 228,941.36 : x
  2. Step 2: Convert to fraction form
    422,537.44/583,096.69 = 228,941.36/x
  3. Step 3: Cross multiply
    422,537.44x = 583,096.69 × 228,941.36
  4. Step 4: Simplify right side
    422,537.44x = 133,494,949,220.10
  5. Step 5: Solve for x
    x = 133,494,949,220.10/422,537.44
  6. Step 6: Final answer
    x = 315,936.38

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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.