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Finding the Fourth Proportional to 313,191.70, 469,786.23 and 113,465.26

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Solution

The fourth proportional to 313,191.70, 469,786.23 and 113,465.26 is: 170,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,191.70 : 469,786.23 = 113,465.26 : x
  2. Step 2: Convert to fraction form
    313,191.70/469,786.23 = 113,465.26/x
  3. Step 3: Cross multiply
    313,191.70x = 469,786.23 × 113,465.26
  4. Step 4: Simplify right side
    313,191.70x = 53,304,416,731.37
  5. Step 5: Solve for x
    x = 53,304,416,731.37/313,191.70
  6. Step 6: Final answer
    x = 170,197.41

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1.5x scale

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.