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Finding the Fourth Proportional to 313,352.28, 470,179.86 and 194,992.92

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Solution

The fourth proportional to 313,352.28, 470,179.86 and 194,992.92 is: 292,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,352.28 : 470,179.86 = 194,992.92 : x
  2. Step 2: Convert to fraction form
    313,352.28/470,179.86 = 194,992.92/x
  3. Step 3: Cross multiply
    313,352.28x = 470,179.86 × 194,992.92
  4. Step 4: Simplify right side
    313,352.28x = 91,681,743,826.59
  5. Step 5: Solve for x
    x = 91,681,743,826.59/313,352.28
  6. Step 6: Final answer
    x = 292,583.62

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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.