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Finding the Fourth Proportional to 384,198.73, 530,145.34 and 214,440.01

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Solution

The fourth proportional to 384,198.73, 530,145.34 and 214,440.01 is: 295,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,198.73 : 530,145.34 = 214,440.01 : x
  2. Step 2: Convert to fraction form
    384,198.73/530,145.34 = 214,440.01/x
  3. Step 3: Cross multiply
    384,198.73x = 530,145.34 × 214,440.01
  4. Step 4: Simplify right side
    384,198.73x = 113,684,372,011.05
  5. Step 5: Solve for x
    x = 113,684,372,011.05/384,198.73
  6. Step 6: Final answer
    x = 295,899.92

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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.