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Finding the Fourth Proportional to 313,846.08, 470,976.48 and 147,647.04

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Solution

The fourth proportional to 313,846.08, 470,976.48 and 147,647.04 is: 221,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.08 : 470,976.48 = 147,647.04 : x
  2. Step 2: Convert to fraction form
    313,846.08/470,976.48 = 147,647.04/x
  3. Step 3: Cross multiply
    313,846.08x = 470,976.48 × 147,647.04
  4. Step 4: Simplify right side
    313,846.08x = 69,538,283,181.62
  5. Step 5: Solve for x
    x = 69,538,283,181.62/313,846.08
  6. Step 6: Final answer
    x = 221,568.11

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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.