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Finding the Fourth Proportional to 468,650.43, 646,738.20 and 253,790.82

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Solution

The fourth proportional to 468,650.43, 646,738.20 and 253,790.82 is: 350,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,650.43 : 646,738.20 = 253,790.82 : x
  2. Step 2: Convert to fraction form
    468,650.43/646,738.20 = 253,790.82/x
  3. Step 3: Cross multiply
    468,650.43x = 646,738.20 × 253,790.82
  4. Step 4: Simplify right side
    468,650.43x = 164,136,218,103.32
  5. Step 5: Solve for x
    x = 164,136,218,103.32/468,650.43
  6. Step 6: Final answer
    x = 350,231.66

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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.