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Finding the Fourth Proportional to 299,187.54, 412,878.78 and 171,863.10

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Solution

The fourth proportional to 299,187.54, 412,878.78 and 171,863.10 is: 237,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,187.54 : 412,878.78 = 171,863.10 : x
  2. Step 2: Convert to fraction form
    299,187.54/412,878.78 = 171,863.10/x
  3. Step 3: Cross multiply
    299,187.54x = 412,878.78 × 171,863.10
  4. Step 4: Simplify right side
    299,187.54x = 70,958,627,055.02
  5. Step 5: Solve for x
    x = 70,958,627,055.02/299,187.54
  6. Step 6: Final answer
    x = 237,171.06

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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.