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Finding the Fourth Proportional to 384,100.52, 530,057.94 and 214,324.52

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Solution

The fourth proportional to 384,100.52, 530,057.94 and 214,324.52 is: 295,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.52 : 530,057.94 = 214,324.52 : x
  2. Step 2: Convert to fraction form
    384,100.52/530,057.94 = 214,324.52/x
  3. Step 3: Cross multiply
    384,100.52x = 530,057.94 × 214,324.52
  4. Step 4: Simplify right side
    384,100.52x = 113,604,413,562.69
  5. Step 5: Solve for x
    x = 113,604,413,562.69/384,100.52
  6. Step 6: Final answer
    x = 295,767.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.