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Finding the Fourth Proportional to 383,604.14, 575,572.19 and 205,903.64

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Solution

The fourth proportional to 383,604.14, 575,572.19 and 205,903.64 is: 308,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,604.14 : 575,572.19 = 205,903.64 : x
  2. Step 2: Convert to fraction form
    383,604.14/575,572.19 = 205,903.64/x
  3. Step 3: Cross multiply
    383,604.14x = 575,572.19 × 205,903.64
  4. Step 4: Simplify right side
    383,604.14x = 118,512,405,096.39
  5. Step 5: Solve for x
    x = 118,512,405,096.39/383,604.14
  6. Step 6: Final answer
    x = 308,944.55

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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.