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Finding the Fourth Proportional to 362,938, 500,854.44 and 203,962

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Solution

The fourth proportional to 362,938, 500,854.44 and 203,962 is: 281,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,938 : 500,854.44 = 203,962 : x
  2. Step 2: Convert to fraction form
    362,938/500,854.44 = 203,962/x
  3. Step 3: Cross multiply
    362,938x = 500,854.44 × 203,962
  4. Step 4: Simplify right side
    362,938x = 102,155,273,291.28
  5. Step 5: Solve for x
    x = 102,155,273,291.28/362,938
  6. Step 6: Final answer
    x = 281,467.56

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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.