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Finding the Fourth Proportional to 411,525.92, 617,348.03 and 127,238.65

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Solution

The fourth proportional to 411,525.92, 617,348.03 and 127,238.65 is: 190,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,525.92 : 617,348.03 = 127,238.65 : x
  2. Step 2: Convert to fraction form
    411,525.92/617,348.03 = 127,238.65/x
  3. Step 3: Cross multiply
    411,525.92x = 617,348.03 × 127,238.65
  4. Step 4: Simplify right side
    411,525.92x = 78,550,529,917.36
  5. Step 5: Solve for x
    x = 78,550,529,917.36/411,525.92
  6. Step 6: Final answer
    x = 190,876.26

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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.