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Finding the Fourth Proportional to 383,833.50, 529,690.26 and 214,063.98

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Solution

The fourth proportional to 383,833.50, 529,690.26 and 214,063.98 is: 295,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,833.50 : 529,690.26 = 214,063.98 : x
  2. Step 2: Convert to fraction form
    383,833.50/529,690.26 = 214,063.98/x
  3. Step 3: Cross multiply
    383,833.50x = 529,690.26 × 214,063.98
  4. Step 4: Simplify right side
    383,833.50x = 113,387,605,222.84
  5. Step 5: Solve for x
    x = 113,387,605,222.84/383,833.50
  6. Step 6: Final answer
    x = 295,408.31

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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.