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Finding the Fourth Proportional to 313,862.20, 470,793.30 and 194,014.60

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Solution

The fourth proportional to 313,862.20, 470,793.30 and 194,014.60 is: 291,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,862.20 : 470,793.30 = 194,014.60 : x
  2. Step 2: Convert to fraction form
    313,862.20/470,793.30 = 194,014.60/x
  3. Step 3: Cross multiply
    313,862.20x = 470,793.30 × 194,014.60
  4. Step 4: Simplify right side
    313,862.20x = 91,340,773,782.18
  5. Step 5: Solve for x
    x = 91,340,773,782.18/313,862.20
  6. Step 6: Final answer
    x = 291,021.90

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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.