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Finding the Fourth Proportional to 299,086.83, 412,825.18 and 170,094.84

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Solution

The fourth proportional to 299,086.83, 412,825.18 and 170,094.84 is: 234,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.83 : 412,825.18 = 170,094.84 : x
  2. Step 2: Convert to fraction form
    299,086.83/412,825.18 = 170,094.84/x
  3. Step 3: Cross multiply
    299,086.83x = 412,825.18 × 170,094.84
  4. Step 4: Simplify right side
    299,086.83x = 70,219,431,764.06
  5. Step 5: Solve for x
    x = 70,219,431,764.06/299,086.83
  6. Step 6: Final answer
    x = 234,779.42

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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.