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Finding the Fourth Proportional to 383,894.68, 529,771.15 and 211,814.23

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Solution

The fourth proportional to 383,894.68, 529,771.15 and 211,814.23 is: 292,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,894.68 : 529,771.15 = 211,814.23 : x
  2. Step 2: Convert to fraction form
    383,894.68/529,771.15 = 211,814.23/x
  3. Step 3: Cross multiply
    383,894.68x = 529,771.15 × 211,814.23
  4. Step 4: Simplify right side
    383,894.68x = 112,213,068,213.47
  5. Step 5: Solve for x
    x = 112,213,068,213.47/383,894.68
  6. Step 6: Final answer
    x = 292,301.70

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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.