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Finding the Fourth Proportional to 313,889.74, 470,763.67 and 89,245.24

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Solution

The fourth proportional to 313,889.74, 470,763.67 and 89,245.24 is: 133,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,889.74 : 470,763.67 = 89,245.24 : x
  2. Step 2: Convert to fraction form
    313,889.74/470,763.67 = 89,245.24/x
  3. Step 3: Cross multiply
    313,889.74x = 470,763.67 × 89,245.24
  4. Step 4: Simplify right side
    313,889.74x = 42,013,416,712.43
  5. Step 5: Solve for x
    x = 42,013,416,712.43/313,889.74
  6. Step 6: Final answer
    x = 133,847.69

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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.