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Finding the Fourth Proportional to 313,662.96, 470,494.52 and 113,946.16

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Solution

The fourth proportional to 313,662.96, 470,494.52 and 113,946.16 is: 170,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,662.96 : 470,494.52 = 113,946.16 : x
  2. Step 2: Convert to fraction form
    313,662.96/470,494.52 = 113,946.16/x
  3. Step 3: Cross multiply
    313,662.96x = 470,494.52 × 113,946.16
  4. Step 4: Simplify right side
    313,662.96x = 53,611,043,855.04
  5. Step 5: Solve for x
    x = 53,611,043,855.04/313,662.96
  6. Step 6: Final answer
    x = 170,919.27

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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.