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Finding the Fourth Proportional to 462,758.80, 694,138.20 and 213,440.80

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Solution

The fourth proportional to 462,758.80, 694,138.20 and 213,440.80 is: 320,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,758.80 : 694,138.20 = 213,440.80 : x
  2. Step 2: Convert to fraction form
    462,758.80/694,138.20 = 213,440.80/x
  3. Step 3: Cross multiply
    462,758.80x = 694,138.20 × 213,440.80
  4. Step 4: Simplify right side
    462,758.80x = 148,157,412,718.56
  5. Step 5: Solve for x
    x = 148,157,412,718.56/462,758.80
  6. Step 6: Final answer
    x = 320,161.20

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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.