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Finding the Fourth Proportional to 313,675.20, 470,512.80 and 214,142.40

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Solution

The fourth proportional to 313,675.20, 470,512.80 and 214,142.40 is: 321,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,675.20 : 470,512.80 = 214,142.40 : x
  2. Step 2: Convert to fraction form
    313,675.20/470,512.80 = 214,142.40/x
  3. Step 3: Cross multiply
    313,675.20x = 470,512.80 × 214,142.40
  4. Step 4: Simplify right side
    313,675.20x = 100,756,740,222.72
  5. Step 5: Solve for x
    x = 100,756,740,222.72/313,675.20
  6. Step 6: Final answer
    x = 321,213.60

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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.