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Finding the Fourth Proportional to 382,986.76, 574,742.56 and 133,668.76

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Solution

The fourth proportional to 382,986.76, 574,742.56 and 133,668.76 is: 200,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,986.76 : 574,742.56 = 133,668.76 : x
  2. Step 2: Convert to fraction form
    382,986.76/574,742.56 = 133,668.76/x
  3. Step 3: Cross multiply
    382,986.76x = 574,742.56 × 133,668.76
  4. Step 4: Simplify right side
    382,986.76x = 76,825,125,314.43
  5. Step 5: Solve for x
    x = 76,825,125,314.43/382,986.76
  6. Step 6: Final answer
    x = 200,594.73

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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.