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Finding the Fourth Proportional to 383,874.93, 529,746.08 and 214,108.92

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Solution

The fourth proportional to 383,874.93, 529,746.08 and 214,108.92 is: 295,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,874.93 : 529,746.08 = 214,108.92 : x
  2. Step 2: Convert to fraction form
    383,874.93/529,746.08 = 214,108.92/x
  3. Step 3: Cross multiply
    383,874.93x = 529,746.08 × 214,108.92
  4. Step 4: Simplify right side
    383,874.93x = 113,423,359,992.49
  5. Step 5: Solve for x
    x = 113,423,359,992.49/383,874.93
  6. Step 6: Final answer
    x = 295,469.57

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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.