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Finding the Fourth Proportional to 329,019.44, 493,725.78 and 302,250.56

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Solution

The fourth proportional to 329,019.44, 493,725.78 and 302,250.56 is: 453,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,019.44 : 493,725.78 = 302,250.56 : x
  2. Step 2: Convert to fraction form
    329,019.44/493,725.78 = 302,250.56/x
  3. Step 3: Cross multiply
    329,019.44x = 493,725.78 × 302,250.56
  4. Step 4: Simplify right side
    329,019.44x = 149,228,891,022.81
  5. Step 5: Solve for x
    x = 149,228,891,022.81/329,019.44
  6. Step 6: Final answer
    x = 453,556.46

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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.