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Finding the Fourth Proportional to 360,954.53, 541,964.01 and 201,342.31

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Solution

The fourth proportional to 360,954.53, 541,964.01 and 201,342.31 is: 302,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,954.53 : 541,964.01 = 201,342.31 : x
  2. Step 2: Convert to fraction form
    360,954.53/541,964.01 = 201,342.31/x
  3. Step 3: Cross multiply
    360,954.53x = 541,964.01 × 201,342.31
  4. Step 4: Simplify right side
    360,954.53x = 109,120,285,110.39
  5. Step 5: Solve for x
    x = 109,120,285,110.39/360,954.53
  6. Step 6: Final answer
    x = 302,310.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.