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Finding the Fourth Proportional to 465,136.16, 641,894.63 and 261,231.21

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Solution

The fourth proportional to 465,136.16, 641,894.63 and 261,231.21 is: 360,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,136.16 : 641,894.63 = 261,231.21 : x
  2. Step 2: Convert to fraction form
    465,136.16/641,894.63 = 261,231.21/x
  3. Step 3: Cross multiply
    465,136.16x = 641,894.63 × 261,231.21
  4. Step 4: Simplify right side
    465,136.16x = 167,682,909,581.25
  5. Step 5: Solve for x
    x = 167,682,909,581.25/465,136.16
  6. Step 6: Final answer
    x = 360,502.85

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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.