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Finding the Fourth Proportional to 313,454.40, 470,181.60 and 165,998.40

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Solution

The fourth proportional to 313,454.40, 470,181.60 and 165,998.40 is: 248,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,454.40 : 470,181.60 = 165,998.40 : x
  2. Step 2: Convert to fraction form
    313,454.40/470,181.60 = 165,998.40/x
  3. Step 3: Cross multiply
    313,454.40x = 470,181.60 × 165,998.40
  4. Step 4: Simplify right side
    313,454.40x = 78,049,393,309.44
  5. Step 5: Solve for x
    x = 78,049,393,309.44/313,454.40
  6. Step 6: Final answer
    x = 248,997.60

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1.5x scale

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.