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Finding the Fourth Proportional to 408,706.34, 613,059.85 and 195,424.07

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Solution

The fourth proportional to 408,706.34, 613,059.85 and 195,424.07 is: 293,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,706.34 : 613,059.85 = 195,424.07 : x
  2. Step 2: Convert to fraction form
    408,706.34/613,059.85 = 195,424.07/x
  3. Step 3: Cross multiply
    408,706.34x = 613,059.85 × 195,424.07
  4. Step 4: Simplify right side
    408,706.34x = 119,806,651,040.59
  5. Step 5: Solve for x
    x = 119,806,651,040.59/408,706.34
  6. Step 6: Final answer
    x = 293,136.27

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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.