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Finding the Fourth Proportional to 383,846.40, 529,706.28 and 211,759.68

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Solution

The fourth proportional to 383,846.40, 529,706.28 and 211,759.68 is: 292,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,846.40 : 529,706.28 = 211,759.68 : x
  2. Step 2: Convert to fraction form
    383,846.40/529,706.28 = 211,759.68/x
  3. Step 3: Cross multiply
    383,846.40x = 529,706.28 × 211,759.68
  4. Step 4: Simplify right side
    383,846.40x = 112,170,432,346.79
  5. Step 5: Solve for x
    x = 112,170,432,346.79/383,846.40
  6. Step 6: Final answer
    x = 292,227.39

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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.