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Finding the Fourth Proportional to 313,846.40, 470,769.60 and 103,433.60

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Solution

The fourth proportional to 313,846.40, 470,769.60 and 103,433.60 is: 155,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.40 : 470,769.60 = 103,433.60 : x
  2. Step 2: Convert to fraction form
    313,846.40/470,769.60 = 103,433.60/x
  3. Step 3: Cross multiply
    313,846.40x = 470,769.60 × 103,433.60
  4. Step 4: Simplify right side
    313,846.40x = 48,693,394,498.56
  5. Step 5: Solve for x
    x = 48,693,394,498.56/313,846.40
  6. Step 6: Final answer
    x = 155,150.40

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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.