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Finding the Fourth Proportional to 383,729.38, 529,562.94 and 213,963.50

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Solution

The fourth proportional to 383,729.38, 529,562.94 and 213,963.50 is: 295,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,729.38 : 529,562.94 = 213,963.50 : x
  2. Step 2: Convert to fraction form
    383,729.38/529,562.94 = 213,963.50/x
  3. Step 3: Cross multiply
    383,729.38x = 529,562.94 × 213,963.50
  4. Step 4: Simplify right side
    383,729.38x = 113,307,140,112.69
  5. Step 5: Solve for x
    x = 113,307,140,112.69/383,729.38
  6. Step 6: Final answer
    x = 295,278.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.