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Finding the Fourth Proportional to 411,927.39, 617,949.54 and 127,640.27

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Solution

The fourth proportional to 411,927.39, 617,949.54 and 127,640.27 is: 191,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,927.39 : 617,949.54 = 127,640.27 : x
  2. Step 2: Convert to fraction form
    411,927.39/617,949.54 = 127,640.27/x
  3. Step 3: Cross multiply
    411,927.39x = 617,949.54 × 127,640.27
  4. Step 4: Simplify right side
    411,927.39x = 78,875,247,676.85
  5. Step 5: Solve for x
    x = 78,875,247,676.85/411,927.39
  6. Step 6: Final answer
    x = 191,478.52

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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.