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Finding the Fourth Proportional to 452,104.70, 678,270.45 and 199,433.30

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Solution

The fourth proportional to 452,104.70, 678,270.45 and 199,433.30 is: 299,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,104.70 : 678,270.45 = 199,433.30 : x
  2. Step 2: Convert to fraction form
    452,104.70/678,270.45 = 199,433.30/x
  3. Step 3: Cross multiply
    452,104.70x = 678,270.45 × 199,433.30
  4. Step 4: Simplify right side
    452,104.70x = 135,269,714,135.99
  5. Step 5: Solve for x
    x = 135,269,714,135.99/452,104.70
  6. Step 6: Final answer
    x = 299,199.97

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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.