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Finding the Fourth Proportional to 313,722.36, 470,375.51 and 114,019.02

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Solution

The fourth proportional to 313,722.36, 470,375.51 and 114,019.02 is: 170,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,722.36 : 470,375.51 = 114,019.02 : x
  2. Step 2: Convert to fraction form
    313,722.36/470,375.51 = 114,019.02/x
  3. Step 3: Cross multiply
    313,722.36x = 470,375.51 × 114,019.02
  4. Step 4: Simplify right side
    313,722.36x = 53,631,754,112.11
  5. Step 5: Solve for x
    x = 53,631,754,112.11/313,722.36
  6. Step 6: Final answer
    x = 170,952.92

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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.