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Finding the Fourth Proportional to 383,944.40, 575,657.40 and 204,059.60

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Solution

The fourth proportional to 383,944.40, 575,657.40 and 204,059.60 is: 305,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,944.40 : 575,657.40 = 204,059.60 : x
  2. Step 2: Convert to fraction form
    383,944.40/575,657.40 = 204,059.60/x
  3. Step 3: Cross multiply
    383,944.40x = 575,657.40 × 204,059.60
  4. Step 4: Simplify right side
    383,944.40x = 117,468,418,781.04
  5. Step 5: Solve for x
    x = 117,468,418,781.04/383,944.40
  6. Step 6: Final answer
    x = 305,951.64

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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.