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Finding the Fourth Proportional to 383,652.28, 575,644.24 and 205,951.76

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Solution

The fourth proportional to 383,652.28, 575,644.24 and 205,951.76 is: 309,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,652.28 : 575,644.24 = 205,951.76 : x
  2. Step 2: Convert to fraction form
    383,652.28/575,644.24 = 205,951.76/x
  3. Step 3: Cross multiply
    383,652.28x = 575,644.24 × 205,951.76
  4. Step 4: Simplify right side
    383,652.28x = 118,554,944,361.86
  5. Step 5: Solve for x
    x = 118,554,944,361.86/383,652.28
  6. Step 6: Final answer
    x = 309,016.66

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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.