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Finding the Fourth Proportional to 512,180.40, 768,853.80 and 301,936.80

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Solution

The fourth proportional to 512,180.40, 768,853.80 and 301,936.80 is: 453,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,180.40 : 768,853.80 = 301,936.80 : x
  2. Step 2: Convert to fraction form
    512,180.40/768,853.80 = 301,936.80/x
  3. Step 3: Cross multiply
    512,180.40x = 768,853.80 × 301,936.80
  4. Step 4: Simplify right side
    512,180.40x = 232,145,256,039.84
  5. Step 5: Solve for x
    x = 232,145,256,039.84/512,180.40
  6. Step 6: Final answer
    x = 453,249.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.