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Finding the Fourth Proportional to 411,849.52, 617,537.67 and 219,487.07

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Solution

The fourth proportional to 411,849.52, 617,537.67 and 219,487.07 is: 329,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,849.52 : 617,537.67 = 219,487.07 : x
  2. Step 2: Convert to fraction form
    411,849.52/617,537.67 = 219,487.07/x
  3. Step 3: Cross multiply
    411,849.52x = 617,537.67 × 219,487.07
  4. Step 4: Simplify right side
    411,849.52x = 135,541,530,166.52
  5. Step 5: Solve for x
    x = 135,541,530,166.52/411,849.52
  6. Step 6: Final answer
    x = 329,104.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.