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Finding the Fourth Proportional to 494,780.50, 682,798.41 and 268,426

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Solution

The fourth proportional to 494,780.50, 682,798.41 and 268,426 is: 370,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,780.50 : 682,798.41 = 268,426 : x
  2. Step 2: Convert to fraction form
    494,780.50/682,798.41 = 268,426/x
  3. Step 3: Cross multiply
    494,780.50x = 682,798.41 × 268,426
  4. Step 4: Simplify right side
    494,780.50x = 183,280,846,002.66
  5. Step 5: Solve for x
    x = 183,280,846,002.66/494,780.50
  6. Step 6: Final answer
    x = 370,428.60

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