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Finding the Fourth Proportional to 452,105.40, 678,137.22 and 185,800.44

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Solution

The fourth proportional to 452,105.40, 678,137.22 and 185,800.44 is: 278,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,105.40 : 678,137.22 = 185,800.44 : x
  2. Step 2: Convert to fraction form
    452,105.40/678,137.22 = 185,800.44/x
  3. Step 3: Cross multiply
    452,105.40x = 678,137.22 × 185,800.44
  4. Step 4: Simplify right side
    452,105.40x = 125,998,193,856.38
  5. Step 5: Solve for x
    x = 125,998,193,856.38/452,105.40
  6. Step 6: Final answer
    x = 278,692.08

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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.