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Finding the Fourth Proportional to 454,959.60, 682,147.43 and 188,903.76

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Solution

The fourth proportional to 454,959.60, 682,147.43 and 188,903.76 is: 283,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,959.60 : 682,147.43 = 188,903.76 : x
  2. Step 2: Convert to fraction form
    454,959.60/682,147.43 = 188,903.76/x
  3. Step 3: Cross multiply
    454,959.60x = 682,147.43 × 188,903.76
  4. Step 4: Simplify right side
    454,959.60x = 128,860,214,401.34
  5. Step 5: Solve for x
    x = 128,860,214,401.34/454,959.60
  6. Step 6: Final answer
    x = 283,234.41

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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.