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Finding the Fourth Proportional to 313,599.54, 470,371.56 and 113,921.64

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Solution

The fourth proportional to 313,599.54, 470,371.56 and 113,921.64 is: 170,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,599.54 : 470,371.56 = 113,921.64 : x
  2. Step 2: Convert to fraction form
    313,599.54/470,371.56 = 113,921.64/x
  3. Step 3: Cross multiply
    313,599.54x = 470,371.56 × 113,921.64
  4. Step 4: Simplify right side
    313,599.54x = 53,585,499,524.56
  5. Step 5: Solve for x
    x = 53,585,499,524.56/313,599.54
  6. Step 6: Final answer
    x = 170,872.38

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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.