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Finding the Fourth Proportional to 313,927.80, 470,891.70 and 114,254.70

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Solution

The fourth proportional to 313,927.80, 470,891.70 and 114,254.70 is: 171,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,927.80 : 470,891.70 = 114,254.70 : x
  2. Step 2: Convert to fraction form
    313,927.80/470,891.70 = 114,254.70/x
  3. Step 3: Cross multiply
    313,927.80x = 470,891.70 × 114,254.70
  4. Step 4: Simplify right side
    313,927.80x = 53,801,589,915.99
  5. Step 5: Solve for x
    x = 53,801,589,915.99/313,927.80
  6. Step 6: Final answer
    x = 171,382.05

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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.