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Finding the Fourth Proportional to 299,316.20, 413,065.98 and 170,251.37

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Solution

The fourth proportional to 299,316.20, 413,065.98 and 170,251.37 is: 234,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.20 : 413,065.98 = 170,251.37 : x
  2. Step 2: Convert to fraction form
    299,316.20/413,065.98 = 170,251.37/x
  3. Step 3: Cross multiply
    299,316.20x = 413,065.98 × 170,251.37
  4. Step 4: Simplify right side
    299,316.20x = 70,325,048,995.39
  5. Step 5: Solve for x
    x = 70,325,048,995.39/299,316.20
  6. Step 6: Final answer
    x = 234,952.36

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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.