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Finding the Fourth Proportional to 384,211.96, 530,211.90 and 214,446.04

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Solution

The fourth proportional to 384,211.96, 530,211.90 and 214,446.04 is: 295,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,211.96 : 530,211.90 = 214,446.04 : x
  2. Step 2: Convert to fraction form
    384,211.96/530,211.90 = 214,446.04/x
  3. Step 3: Cross multiply
    384,211.96x = 530,211.90 × 214,446.04
  4. Step 4: Simplify right side
    384,211.96x = 113,701,842,315.88
  5. Step 5: Solve for x
    x = 113,701,842,315.88/384,211.96
  6. Step 6: Final answer
    x = 295,935.20

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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.