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Finding the Fourth Proportional to 384,672.75, 530,838.68 and 214,908.09

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Solution

The fourth proportional to 384,672.75, 530,838.68 and 214,908.09 is: 296,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,672.75 : 530,838.68 = 214,908.09 : x
  2. Step 2: Convert to fraction form
    384,672.75/530,838.68 = 214,908.09/x
  3. Step 3: Cross multiply
    384,672.75x = 530,838.68 × 214,908.09
  4. Step 4: Simplify right side
    384,672.75x = 114,081,525,742.38
  5. Step 5: Solve for x
    x = 114,081,525,742.38/384,672.75
  6. Step 6: Final answer
    x = 296,567.73

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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.