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Finding the Fourth Proportional to 313,900.70, 470,851.05 and 219,422.30

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Solution

The fourth proportional to 313,900.70, 470,851.05 and 219,422.30 is: 329,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,900.70 : 470,851.05 = 219,422.30 : x
  2. Step 2: Convert to fraction form
    313,900.70/470,851.05 = 219,422.30/x
  3. Step 3: Cross multiply
    313,900.70x = 470,851.05 × 219,422.30
  4. Step 4: Simplify right side
    313,900.70x = 103,315,220,348.42
  5. Step 5: Solve for x
    x = 103,315,220,348.42/313,900.70
  6. Step 6: Final answer
    x = 329,133.45

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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.