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Finding the Fourth Proportional to 383,883, 529,757.05 and 211,811.68

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Solution

The fourth proportional to 383,883, 529,757.05 and 211,811.68 is: 292,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,883 : 529,757.05 = 211,811.68 : x
  2. Step 2: Convert to fraction form
    383,883/529,757.05 = 211,811.68/x
  3. Step 3: Cross multiply
    383,883x = 529,757.05 × 211,811.68
  4. Step 4: Simplify right side
    383,883x = 112,208,727,044.50
  5. Step 5: Solve for x
    x = 112,208,727,044.50/383,883
  6. Step 6: Final answer
    x = 292,299.29

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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.