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Finding the Fourth Proportional to 313,722.61, 470,375.88 and 114,019.27

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Solution

The fourth proportional to 313,722.61, 470,375.88 and 114,019.27 is: 170,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,722.61 : 470,375.88 = 114,019.27 : x
  2. Step 2: Convert to fraction form
    313,722.61/470,375.88 = 114,019.27/x
  3. Step 3: Cross multiply
    313,722.61x = 470,375.88 × 114,019.27
  4. Step 4: Simplify right side
    313,722.61x = 53,631,914,463.21
  5. Step 5: Solve for x
    x = 53,631,914,463.21/313,722.61
  6. Step 6: Final answer
    x = 170,953.30

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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.