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Finding the Fourth Proportional to 300,507.58, 450,096.96 and 205,512.64

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Solution

The fourth proportional to 300,507.58, 450,096.96 and 205,512.64 is: 307,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,507.58 : 450,096.96 = 205,512.64 : x
  2. Step 2: Convert to fraction form
    300,507.58/450,096.96 = 205,512.64/x
  3. Step 3: Cross multiply
    300,507.58x = 450,096.96 × 205,512.64
  4. Step 4: Simplify right side
    300,507.58x = 92,500,614,505.57
  5. Step 5: Solve for x
    x = 92,500,614,505.57/300,507.58
  6. Step 6: Final answer
    x = 307,814.58

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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.