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Finding the Fourth Proportional to 313,694.55, 470,564.87 and 89,073.09

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Solution

The fourth proportional to 313,694.55, 470,564.87 and 89,073.09 is: 133,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,694.55 : 470,564.87 = 89,073.09 : x
  2. Step 2: Convert to fraction form
    313,694.55/470,564.87 = 89,073.09/x
  3. Step 3: Cross multiply
    313,694.55x = 470,564.87 × 89,073.09
  4. Step 4: Simplify right side
    313,694.55x = 41,914,668,144.96
  5. Step 5: Solve for x
    x = 41,914,668,144.96/313,694.55
  6. Step 6: Final answer
    x = 133,616.18

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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.