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Finding the Fourth Proportional to 383,902.43, 575,853.53 and 206,164.94

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Solution

The fourth proportional to 383,902.43, 575,853.53 and 206,164.94 is: 309,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,902.43 : 575,853.53 = 206,164.94 : x
  2. Step 2: Convert to fraction form
    383,902.43/575,853.53 = 206,164.94/x
  3. Step 3: Cross multiply
    383,902.43x = 575,853.53 × 206,164.94
  4. Step 4: Simplify right side
    383,902.43x = 118,720,804,551.15
  5. Step 5: Solve for x
    x = 118,720,804,551.15/383,902.43
  6. Step 6: Final answer
    x = 309,247.34

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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.