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Finding the Fourth Proportional to 384,212.86, 530,164.83 and 214,454.14

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Solution

The fourth proportional to 384,212.86, 530,164.83 and 214,454.14 is: 295,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,212.86 : 530,164.83 = 214,454.14 : x
  2. Step 2: Convert to fraction form
    384,212.86/530,164.83 = 214,454.14/x
  3. Step 3: Cross multiply
    384,212.86x = 530,164.83 × 214,454.14
  4. Step 4: Simplify right side
    384,212.86x = 113,696,042,675.90
  5. Step 5: Solve for x
    x = 113,696,042,675.90/384,212.86
  6. Step 6: Final answer
    x = 295,919.41

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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.