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Finding the Fourth Proportional to 299,191.64, 412,843.57 and 171,867.20

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Solution

The fourth proportional to 299,191.64, 412,843.57 and 171,867.20 is: 237,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,191.64 : 412,843.57 = 171,867.20 : x
  2. Step 2: Convert to fraction form
    299,191.64/412,843.57 = 171,867.20/x
  3. Step 3: Cross multiply
    299,191.64x = 412,843.57 × 171,867.20
  4. Step 4: Simplify right side
    299,191.64x = 70,954,265,490.35
  5. Step 5: Solve for x
    x = 70,954,265,490.35/299,191.64
  6. Step 6: Final answer
    x = 237,153.24

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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.