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Finding the Fourth Proportional to 494,443.67, 741,225.63 and 178,830.41

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Solution

The fourth proportional to 494,443.67, 741,225.63 and 178,830.41 is: 268,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,443.67 : 741,225.63 = 178,830.41 : x
  2. Step 2: Convert to fraction form
    494,443.67/741,225.63 = 178,830.41/x
  3. Step 3: Cross multiply
    494,443.67x = 741,225.63 × 178,830.41
  4. Step 4: Simplify right side
    494,443.67x = 132,553,683,315.41
  5. Step 5: Solve for x
    x = 132,553,683,315.41/494,443.67
  6. Step 6: Final answer
    x = 268,086.52

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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.