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Finding the Fourth Proportional to 494,851.50, 682,898.72 and 268,497

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Solution

The fourth proportional to 494,851.50, 682,898.72 and 268,497 is: 370,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,851.50 : 682,898.72 = 268,497 : x
  2. Step 2: Convert to fraction form
    494,851.50/682,898.72 = 268,497/x
  3. Step 3: Cross multiply
    494,851.50x = 682,898.72 × 268,497
  4. Step 4: Simplify right side
    494,851.50x = 183,356,256,281.36
  5. Step 5: Solve for x
    x = 183,356,256,281.36/494,851.50
  6. Step 6: Final answer
    x = 370,527.84

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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.