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Finding the Fourth Proportional to 494,816.40, 682,774.02 and 277,013.75

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Solution

The fourth proportional to 494,816.40, 682,774.02 and 277,013.75 is: 382,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,816.40 : 682,774.02 = 277,013.75 : x
  2. Step 2: Convert to fraction form
    494,816.40/682,774.02 = 277,013.75/x
  3. Step 3: Cross multiply
    494,816.40x = 682,774.02 × 277,013.75
  4. Step 4: Simplify right side
    494,816.40x = 189,137,788,268.91
  5. Step 5: Solve for x
    x = 189,137,788,268.91/494,816.40
  6. Step 6: Final answer
    x = 382,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.