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Finding the Fourth Proportional to 383,262.76, 575,402.80 and 327,461.44

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Solution

The fourth proportional to 383,262.76, 575,402.80 and 327,461.44 is: 491,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,262.76 : 575,402.80 = 327,461.44 : x
  2. Step 2: Convert to fraction form
    383,262.76/575,402.80 = 327,461.44/x
  3. Step 3: Cross multiply
    383,262.76x = 575,402.80 × 327,461.44
  4. Step 4: Simplify right side
    383,262.76x = 188,422,229,468.03
  5. Step 5: Solve for x
    x = 188,422,229,468.03/383,262.76
  6. Step 6: Final answer
    x = 491,626.76

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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.