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Finding the Fourth Proportional to 494,429.40, 741,644.10 and 405,855.90

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Solution

The fourth proportional to 494,429.40, 741,644.10 and 405,855.90 is: 608,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,429.40 : 741,644.10 = 405,855.90 : x
  2. Step 2: Convert to fraction form
    494,429.40/741,644.10 = 405,855.90/x
  3. Step 3: Cross multiply
    494,429.40x = 741,644.10 × 405,855.90
  4. Step 4: Simplify right side
    494,429.40x = 301,000,633,685.19
  5. Step 5: Solve for x
    x = 301,000,633,685.19/494,429.40
  6. Step 6: Final answer
    x = 608,783.85

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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.