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Finding the Fourth Proportional to 383,502.92, 529,252.04 and 213,738.26

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Solution

The fourth proportional to 383,502.92, 529,252.04 and 213,738.26 is: 294,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,502.92 : 529,252.04 = 213,738.26 : x
  2. Step 2: Convert to fraction form
    383,502.92/529,252.04 = 213,738.26/x
  3. Step 3: Cross multiply
    383,502.92x = 529,252.04 × 213,738.26
  4. Step 4: Simplify right side
    383,502.92x = 113,121,408,019.14
  5. Step 5: Solve for x
    x = 113,121,408,019.14/383,502.92
  6. Step 6: Final answer
    x = 294,968.83

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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.