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Finding the Fourth Proportional to 384,217.52, 530,198.61 and 214,462.58

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Solution

The fourth proportional to 384,217.52, 530,198.61 and 214,462.58 is: 295,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,217.52 : 530,198.61 = 214,462.58 : x
  2. Step 2: Convert to fraction form
    384,217.52/530,198.61 = 214,462.58/x
  3. Step 3: Cross multiply
    384,217.52x = 530,198.61 × 214,462.58
  4. Step 4: Simplify right side
    384,217.52x = 113,707,761,813.01
  5. Step 5: Solve for x
    x = 113,707,761,813.01/384,217.52
  6. Step 6: Final answer
    x = 295,946.32

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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.