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Finding the Fourth Proportional to 313,844.80, 470,767.20 and 103,455.40

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Solution

The fourth proportional to 313,844.80, 470,767.20 and 103,455.40 is: 155,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844.80 : 470,767.20 = 103,455.40 : x
  2. Step 2: Convert to fraction form
    313,844.80/470,767.20 = 103,455.40/x
  3. Step 3: Cross multiply
    313,844.80x = 470,767.20 × 103,455.40
  4. Step 4: Simplify right side
    313,844.80x = 48,703,408,982.88
  5. Step 5: Solve for x
    x = 48,703,408,982.88/313,844.80
  6. Step 6: Final answer
    x = 155,183.10

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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.