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Finding the Fourth Proportional to 382,766.84, 574,273.20 and 116,578.88

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Solution

The fourth proportional to 382,766.84, 574,273.20 and 116,578.88 is: 174,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,766.84 : 574,273.20 = 116,578.88 : x
  2. Step 2: Convert to fraction form
    382,766.84/574,273.20 = 116,578.88/x
  3. Step 3: Cross multiply
    382,766.84x = 574,273.20 × 116,578.88
  4. Step 4: Simplify right side
    382,766.84x = 66,948,126,470.02
  5. Step 5: Solve for x
    x = 66,948,126,470.02/382,766.84
  6. Step 6: Final answer
    x = 174,905.76

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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.