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Finding the Fourth Proportional to 323,313.54, 446,139.19 and 199,114.87

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Solution

The fourth proportional to 323,313.54, 446,139.19 and 199,114.87 is: 274,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,313.54 : 446,139.19 = 199,114.87 : x
  2. Step 2: Convert to fraction form
    323,313.54/446,139.19 = 199,114.87/x
  3. Step 3: Cross multiply
    323,313.54x = 446,139.19 × 199,114.87
  4. Step 4: Simplify right side
    323,313.54x = 88,832,946,788.81
  5. Step 5: Solve for x
    x = 88,832,946,788.81/323,313.54
  6. Step 6: Final answer
    x = 274,757.89

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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.