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Finding the Fourth Proportional to 299,089.83, 412,729.40 and 178,228.43

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Solution

The fourth proportional to 299,089.83, 412,729.40 and 178,228.43 is: 245,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.83 : 412,729.40 = 178,228.43 : x
  2. Step 2: Convert to fraction form
    299,089.83/412,729.40 = 178,228.43/x
  3. Step 3: Cross multiply
    299,089.83x = 412,729.40 × 178,228.43
  4. Step 4: Simplify right side
    299,089.83x = 73,560,110,022.05
  5. Step 5: Solve for x
    x = 73,560,110,022.05/299,089.83
  6. Step 6: Final answer
    x = 245,946.54

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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.