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Finding the Fourth Proportional to 494,416.80, 741,625.20 and 461,239.20

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Solution

The fourth proportional to 494,416.80, 741,625.20 and 461,239.20 is: 691,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,416.80 : 741,625.20 = 461,239.20 : x
  2. Step 2: Convert to fraction form
    494,416.80/741,625.20 = 461,239.20/x
  3. Step 3: Cross multiply
    494,416.80x = 741,625.20 × 461,239.20
  4. Step 4: Simplify right side
    494,416.80x = 342,066,613,947.84
  5. Step 5: Solve for x
    x = 342,066,613,947.84/494,416.80
  6. Step 6: Final answer
    x = 691,858.80

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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.