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Finding the Fourth Proportional to 383,260.76, 575,399.80 and 327,459.44

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Solution

The fourth proportional to 383,260.76, 575,399.80 and 327,459.44 is: 491,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,260.76 : 575,399.80 = 327,459.44 : x
  2. Step 2: Convert to fraction form
    383,260.76/575,399.80 = 327,459.44/x
  3. Step 3: Cross multiply
    383,260.76x = 575,399.80 × 327,459.44
  4. Step 4: Simplify right side
    383,260.76x = 188,420,096,284.11
  5. Step 5: Solve for x
    x = 188,420,096,284.11/383,260.76
  6. Step 6: Final answer
    x = 491,623.76

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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.