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Finding the Fourth Proportional to 383,469.76, 575,206 and 117,229.28

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Solution

The fourth proportional to 383,469.76, 575,206 and 117,229.28 is: 175,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,469.76 : 575,206 = 117,229.28 : x
  2. Step 2: Convert to fraction form
    383,469.76/575,206 = 117,229.28/x
  3. Step 3: Cross multiply
    383,469.76x = 575,206 × 117,229.28
  4. Step 4: Simplify right side
    383,469.76x = 67,430,985,231.68
  5. Step 5: Solve for x
    x = 67,430,985,231.68/383,469.76
  6. Step 6: Final answer
    x = 175,844.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.