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Finding the Fourth Proportional to 341,568.80, 512,353.20 and 199,851.20

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Solution

The fourth proportional to 341,568.80, 512,353.20 and 199,851.20 is: 299,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,568.80 : 512,353.20 = 199,851.20 : x
  2. Step 2: Convert to fraction form
    341,568.80/512,353.20 = 199,851.20/x
  3. Step 3: Cross multiply
    341,568.80x = 512,353.20 × 199,851.20
  4. Step 4: Simplify right side
    341,568.80x = 102,394,401,843.84
  5. Step 5: Solve for x
    x = 102,394,401,843.84/341,568.80
  6. Step 6: Final answer
    x = 299,776.80

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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.