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Finding the Fourth Proportional to 978,297.80, 1,467,446.70 and 659,433.20

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Solution

The fourth proportional to 978,297.80, 1,467,446.70 and 659,433.20 is: 989,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,297.80 : 1,467,446.70 = 659,433.20 : x
  2. Step 2: Convert to fraction form
    978,297.80/1,467,446.70 = 659,433.20/x
  3. Step 3: Cross multiply
    978,297.80x = 1,467,446.70 × 659,433.20
  4. Step 4: Simplify right side
    978,297.80x = 967,683,073,210.44
  5. Step 5: Solve for x
    x = 967,683,073,210.44/978,297.80
  6. Step 6: Final answer
    x = 989,149.80

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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.