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Finding the Fourth Proportional to 299,231.72, 412,457.38 and 202,400.26

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Solution

The fourth proportional to 299,231.72, 412,457.38 and 202,400.26 is: 278,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,231.72 : 412,457.38 = 202,400.26 : x
  2. Step 2: Convert to fraction form
    299,231.72/412,457.38 = 202,400.26/x
  3. Step 3: Cross multiply
    299,231.72x = 412,457.38 × 202,400.26
  4. Step 4: Simplify right side
    299,231.72x = 83,481,480,950.92
  5. Step 5: Solve for x
    x = 83,481,480,950.92/299,231.72
  6. Step 6: Final answer
    x = 278,986.07

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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.