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Finding the Fourth Proportional to 313,928.20, 470,892.30 and 279,713.80

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Solution

The fourth proportional to 313,928.20, 470,892.30 and 279,713.80 is: 419,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,928.20 : 470,892.30 = 279,713.80 : x
  2. Step 2: Convert to fraction form
    313,928.20/470,892.30 = 279,713.80/x
  3. Step 3: Cross multiply
    313,928.20x = 470,892.30 × 279,713.80
  4. Step 4: Simplify right side
    313,928.20x = 131,715,074,623.74
  5. Step 5: Solve for x
    x = 131,715,074,623.74/313,928.20
  6. Step 6: Final answer
    x = 419,570.70

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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.