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Finding the Fourth Proportional to 494,297.40, 741,446.10 and 405,723.90

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Solution

The fourth proportional to 494,297.40, 741,446.10 and 405,723.90 is: 608,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,297.40 : 741,446.10 = 405,723.90 : x
  2. Step 2: Convert to fraction form
    494,297.40/741,446.10 = 405,723.90/x
  3. Step 3: Cross multiply
    494,297.40x = 741,446.10 × 405,723.90
  4. Step 4: Simplify right side
    494,297.40x = 300,822,403,331.79
  5. Step 5: Solve for x
    x = 300,822,403,331.79/494,297.40
  6. Step 6: Final answer
    x = 608,585.85

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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.