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Finding the Fourth Proportional to 384,118.38, 530,083.80 and 214,352.46

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Solution

The fourth proportional to 384,118.38, 530,083.80 and 214,352.46 is: 295,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,118.38 : 530,083.80 = 214,352.46 : x
  2. Step 2: Convert to fraction form
    384,118.38/530,083.80 = 214,352.46/x
  3. Step 3: Cross multiply
    384,118.38x = 530,083.80 × 214,352.46
  4. Step 4: Simplify right side
    384,118.38x = 113,624,766,536.15
  5. Step 5: Solve for x
    x = 113,624,766,536.15/384,118.38
  6. Step 6: Final answer
    x = 295,806.64

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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.