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Finding the Fourth Proportional to 299,114.31, 412,767.68 and 178,192.97

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Solution

The fourth proportional to 299,114.31, 412,767.68 and 178,192.97 is: 245,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114.31 : 412,767.68 = 178,192.97 : x
  2. Step 2: Convert to fraction form
    299,114.31/412,767.68 = 178,192.97/x
  3. Step 3: Cross multiply
    299,114.31x = 412,767.68 × 178,192.97
  4. Step 4: Simplify right side
    299,114.31x = 73,552,295,864.41
  5. Step 5: Solve for x
    x = 73,552,295,864.41/299,114.31
  6. Step 6: Final answer
    x = 245,900.29

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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.