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Finding the Fourth Proportional to 449,778.84, 674,855.16 and 196,929.12

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Solution

The fourth proportional to 449,778.84, 674,855.16 and 196,929.12 is: 295,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,778.84 : 674,855.16 = 196,929.12 : x
  2. Step 2: Convert to fraction form
    449,778.84/674,855.16 = 196,929.12/x
  3. Step 3: Cross multiply
    449,778.84x = 674,855.16 × 196,929.12
  4. Step 4: Simplify right side
    449,778.84x = 132,898,632,786.26
  5. Step 5: Solve for x
    x = 132,898,632,786.26/449,778.84
  6. Step 6: Final answer
    x = 295,475.51

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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.