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Finding the Fourth Proportional to 413,794.70, 620,692.05 and 369,179.90

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Solution

The fourth proportional to 413,794.70, 620,692.05 and 369,179.90 is: 553,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,794.70 : 620,692.05 = 369,179.90 : x
  2. Step 2: Convert to fraction form
    413,794.70/620,692.05 = 369,179.90/x
  3. Step 3: Cross multiply
    413,794.70x = 620,692.05 × 369,179.90
  4. Step 4: Simplify right side
    413,794.70x = 229,147,028,949.80
  5. Step 5: Solve for x
    x = 229,147,028,949.80/413,794.70
  6. Step 6: Final answer
    x = 553,769.85

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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.