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Finding the Fourth Proportional to 335,969.88, 463,604.76 and 206,887.68

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Solution

The fourth proportional to 335,969.88, 463,604.76 and 206,887.68 is: 285,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,969.88 : 463,604.76 = 206,887.68 : x
  2. Step 2: Convert to fraction form
    335,969.88/463,604.76 = 206,887.68/x
  3. Step 3: Cross multiply
    335,969.88x = 463,604.76 × 206,887.68
  4. Step 4: Simplify right side
    335,969.88x = 95,914,113,233.36
  5. Step 5: Solve for x
    x = 95,914,113,233.36/335,969.88
  6. Step 6: Final answer
    x = 285,484.26

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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.