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Finding the Fourth Proportional to 383,833.76, 529,691.52 and 214,078.88

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Solution

The fourth proportional to 383,833.76, 529,691.52 and 214,078.88 is: 295,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,833.76 : 529,691.52 = 214,078.88 : x
  2. Step 2: Convert to fraction form
    383,833.76/529,691.52 = 214,078.88/x
  3. Step 3: Cross multiply
    383,833.76x = 529,691.52 × 214,078.88
  4. Step 4: Simplify right side
    383,833.76x = 113,395,767,347.10
  5. Step 5: Solve for x
    x = 113,395,767,347.10/383,833.76
  6. Step 6: Final answer
    x = 295,429.37

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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.