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Finding the Fourth Proportional to 313,891.80, 470,837.70 and 114,218.70

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Solution

The fourth proportional to 313,891.80, 470,837.70 and 114,218.70 is: 171,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,891.80 : 470,837.70 = 114,218.70 : x
  2. Step 2: Convert to fraction form
    313,891.80/470,837.70 = 114,218.70/x
  3. Step 3: Cross multiply
    313,891.80x = 470,837.70 × 114,218.70
  4. Step 4: Simplify right side
    313,891.80x = 53,778,470,004.99
  5. Step 5: Solve for x
    x = 53,778,470,004.99/313,891.80
  6. Step 6: Final answer
    x = 171,328.05

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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.