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Finding the Fourth Proportional to 449,981.34, 675,158.34 and 197,131.20

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Solution

The fourth proportional to 449,981.34, 675,158.34 and 197,131.20 is: 295,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,981.34 : 675,158.34 = 197,131.20 : x
  2. Step 2: Convert to fraction form
    449,981.34/675,158.34 = 197,131.20/x
  3. Step 3: Cross multiply
    449,981.34x = 675,158.34 × 197,131.20
  4. Step 4: Simplify right side
    449,981.34x = 133,094,773,754.21
  5. Step 5: Solve for x
    x = 133,094,773,754.21/449,981.34
  6. Step 6: Final answer
    x = 295,778.43

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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.