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Finding the Fourth Proportional to 384,116.76, 530,080.78 and 214,351.80

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Solution

The fourth proportional to 384,116.76, 530,080.78 and 214,351.80 is: 295,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,116.76 : 530,080.78 = 214,351.80 : x
  2. Step 2: Convert to fraction form
    384,116.76/530,080.78 = 214,351.80/x
  3. Step 3: Cross multiply
    384,116.76x = 530,080.78 × 214,351.80
  4. Step 4: Simplify right side
    384,116.76x = 113,623,769,338.40
  5. Step 5: Solve for x
    x = 113,623,769,338.40/384,116.76
  6. Step 6: Final answer
    x = 295,805.29

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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.