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Finding the Fourth Proportional to 299,088, 412,745.09 and 171,775.44

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Solution

The fourth proportional to 299,088, 412,745.09 and 171,775.44 is: 237,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088 : 412,745.09 = 171,775.44 : x
  2. Step 2: Convert to fraction form
    299,088/412,745.09 = 171,775.44/x
  3. Step 3: Cross multiply
    299,088x = 412,745.09 × 171,775.44
  4. Step 4: Simplify right side
    299,088x = 70,899,468,583.71
  5. Step 5: Solve for x
    x = 70,899,468,583.71/299,088
  6. Step 6: Final answer
    x = 237,052.20

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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.