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Finding the Fourth Proportional to 494,800.56, 682,827.12 and 268,446

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Solution

The fourth proportional to 494,800.56, 682,827.12 and 268,446 is: 370,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,800.56 : 682,827.12 = 268,446 : x
  2. Step 2: Convert to fraction form
    494,800.56/682,827.12 = 268,446/x
  3. Step 3: Cross multiply
    494,800.56x = 682,827.12 × 268,446
  4. Step 4: Simplify right side
    494,800.56x = 183,302,209,055.52
  5. Step 5: Solve for x
    x = 183,302,209,055.52/494,800.56
  6. Step 6: Final answer
    x = 370,456.75

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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.