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Finding the Fourth Proportional to 360,954.65, 541,964.20 and 201,342.43

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Solution

The fourth proportional to 360,954.65, 541,964.20 and 201,342.43 is: 302,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,954.65 : 541,964.20 = 201,342.43 : x
  2. Step 2: Convert to fraction form
    360,954.65/541,964.20 = 201,342.43/x
  3. Step 3: Cross multiply
    360,954.65x = 541,964.20 × 201,342.43
  4. Step 4: Simplify right side
    360,954.65x = 109,120,390,607.60
  5. Step 5: Solve for x
    x = 109,120,390,607.60/360,954.65
  6. Step 6: Final answer
    x = 302,310.52

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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.