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Finding the Fourth Proportional to 299,109, 412,755.84 and 178,247.52

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Solution

The fourth proportional to 299,109, 412,755.84 and 178,247.52 is: 245,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,109 : 412,755.84 = 178,247.52 : x
  2. Step 2: Convert to fraction form
    299,109/412,755.84 = 178,247.52/x
  3. Step 3: Cross multiply
    299,109x = 412,755.84 × 178,247.52
  4. Step 4: Simplify right side
    299,109x = 73,572,704,845.52
  5. Step 5: Solve for x
    x = 73,572,704,845.52/299,109
  6. Step 6: Final answer
    x = 245,972.89

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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.