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Finding the Fourth Proportional to 383,863.40, 529,731.54 and 214,097.52

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Solution

The fourth proportional to 383,863.40, 529,731.54 and 214,097.52 is: 295,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,863.40 : 529,731.54 = 214,097.52 : x
  2. Step 2: Convert to fraction form
    383,863.40/529,731.54 = 214,097.52/x
  3. Step 3: Cross multiply
    383,863.40x = 529,731.54 × 214,097.52
  4. Step 4: Simplify right side
    383,863.40x = 113,414,208,979.78
  5. Step 5: Solve for x
    x = 113,414,208,979.78/383,863.40
  6. Step 6: Final answer
    x = 295,454.61

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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.