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Finding the Fourth Proportional to 296,044.56, 408,515.94 and 166,975.92

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Solution

The fourth proportional to 296,044.56, 408,515.94 and 166,975.92 is: 230,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,044.56 : 408,515.94 = 166,975.92 : x
  2. Step 2: Convert to fraction form
    296,044.56/408,515.94 = 166,975.92/x
  3. Step 3: Cross multiply
    296,044.56x = 408,515.94 × 166,975.92
  4. Step 4: Simplify right side
    296,044.56x = 68,212,324,916.16
  5. Step 5: Solve for x
    x = 68,212,324,916.16/296,044.56
  6. Step 6: Final answer
    x = 230,412.36

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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.