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Finding the Fourth Proportional to 404,456, 558,149.28 and 225,608

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Solution

The fourth proportional to 404,456, 558,149.28 and 225,608 is: 311,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,456 : 558,149.28 = 225,608 : x
  2. Step 2: Convert to fraction form
    404,456/558,149.28 = 225,608/x
  3. Step 3: Cross multiply
    404,456x = 558,149.28 × 225,608
  4. Step 4: Simplify right side
    404,456x = 125,922,942,762.24
  5. Step 5: Solve for x
    x = 125,922,942,762.24/404,456
  6. Step 6: Final answer
    x = 311,339.04

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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.