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Finding the Fourth Proportional to 313,796.34, 433,041.81 and 170,556.73

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Solution

The fourth proportional to 313,796.34, 433,041.81 and 170,556.73 is: 235,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,796.34 : 433,041.81 = 170,556.73 : x
  2. Step 2: Convert to fraction form
    313,796.34/433,041.81 = 170,556.73/x
  3. Step 3: Cross multiply
    313,796.34x = 433,041.81 × 170,556.73
  4. Step 4: Simplify right side
    313,796.34x = 73,858,195,066.88
  5. Step 5: Solve for x
    x = 73,858,195,066.88/313,796.34
  6. Step 6: Final answer
    x = 235,369.84

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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.