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Finding the Fourth Proportional to 494,709.60, 741,189.60 and 419,476.80

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Solution

The fourth proportional to 494,709.60, 741,189.60 and 419,476.80 is: 628,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,709.60 : 741,189.60 = 419,476.80 : x
  2. Step 2: Convert to fraction form
    494,709.60/741,189.60 = 419,476.80/x
  3. Step 3: Cross multiply
    494,709.60x = 741,189.60 × 419,476.80
  4. Step 4: Simplify right side
    494,709.60x = 310,911,841,601.28
  5. Step 5: Solve for x
    x = 310,911,841,601.28/494,709.60
  6. Step 6: Final answer
    x = 628,473.43

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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.