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Finding the Fourth Proportional to 335,669.38, 463,233.74 and 206,682.28

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Solution

The fourth proportional to 335,669.38, 463,233.74 and 206,682.28 is: 285,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,669.38 : 463,233.74 = 206,682.28 : x
  2. Step 2: Convert to fraction form
    335,669.38/463,233.74 = 206,682.28/x
  3. Step 3: Cross multiply
    335,669.38x = 463,233.74 × 206,682.28
  4. Step 4: Simplify right side
    335,669.38x = 95,742,203,364.63
  5. Step 5: Solve for x
    x = 95,742,203,364.63/335,669.38
  6. Step 6: Final answer
    x = 285,227.70

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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.