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Finding the Fourth Proportional to 411,706.51, 617,736.38 and 159,164.33

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Solution

The fourth proportional to 411,706.51, 617,736.38 and 159,164.33 is: 238,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,706.51 : 617,736.38 = 159,164.33 : x
  2. Step 2: Convert to fraction form
    411,706.51/617,736.38 = 159,164.33/x
  3. Step 3: Cross multiply
    411,706.51x = 617,736.38 × 159,164.33
  4. Step 4: Simplify right side
    411,706.51x = 98,321,596,243.50
  5. Step 5: Solve for x
    x = 98,321,596,243.50/411,706.51
  6. Step 6: Final answer
    x = 238,814.77

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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.