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Finding the Fourth Proportional to 313,041.24, 431,993.84 and 169,799.22

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Solution

The fourth proportional to 313,041.24, 431,993.84 and 169,799.22 is: 234,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,041.24 : 431,993.84 = 169,799.22 : x
  2. Step 2: Convert to fraction form
    313,041.24/431,993.84 = 169,799.22/x
  3. Step 3: Cross multiply
    313,041.24x = 431,993.84 × 169,799.22
  4. Step 4: Simplify right side
    313,041.24x = 73,352,217,076.80
  5. Step 5: Solve for x
    x = 73,352,217,076.80/313,041.24
  6. Step 6: Final answer
    x = 234,321.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.