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Finding the Fourth Proportional to 362,930.63, 500,844.26 and 203,954.63

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Solution

The fourth proportional to 362,930.63, 500,844.26 and 203,954.63 is: 281,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,930.63 : 500,844.26 = 203,954.63 : x
  2. Step 2: Convert to fraction form
    362,930.63/500,844.26 = 203,954.63/x
  3. Step 3: Cross multiply
    362,930.63x = 500,844.26 × 203,954.63
  4. Step 4: Simplify right side
    362,930.63x = 102,149,503,741.59
  5. Step 5: Solve for x
    x = 102,149,503,741.59/362,930.63
  6. Step 6: Final answer
    x = 281,457.38

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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.