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Finding the Fourth Proportional to 382,674.88, 574,099.68 and 116,473.12

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Solution

The fourth proportional to 382,674.88, 574,099.68 and 116,473.12 is: 174,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,674.88 : 574,099.68 = 116,473.12 : x
  2. Step 2: Convert to fraction form
    382,674.88/574,099.68 = 116,473.12/x
  3. Step 3: Cross multiply
    382,674.88x = 574,099.68 × 116,473.12
  4. Step 4: Simplify right side
    382,674.88x = 66,867,180,920.60
  5. Step 5: Solve for x
    x = 66,867,180,920.60/382,674.88
  6. Step 6: Final answer
    x = 174,736.27

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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.