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Finding the Fourth Proportional to 313,771.52, 470,467.38 and 126,564.32

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Solution

The fourth proportional to 313,771.52, 470,467.38 and 126,564.32 is: 189,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,771.52 : 470,467.38 = 126,564.32 : x
  2. Step 2: Convert to fraction form
    313,771.52/470,467.38 = 126,564.32/x
  3. Step 3: Cross multiply
    313,771.52x = 470,467.38 × 126,564.32
  4. Step 4: Simplify right side
    313,771.52x = 59,544,384,031.88
  5. Step 5: Solve for x
    x = 59,544,384,031.88/313,771.52
  6. Step 6: Final answer
    x = 189,769.88

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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.