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Finding the Fourth Proportional to 598,672.24, 826,309.50 and 344,171.32

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Solution

The fourth proportional to 598,672.24, 826,309.50 and 344,171.32 is: 475,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,672.24 : 826,309.50 = 344,171.32 : x
  2. Step 2: Convert to fraction form
    598,672.24/826,309.50 = 344,171.32/x
  3. Step 3: Cross multiply
    598,672.24x = 826,309.50 × 344,171.32
  4. Step 4: Simplify right side
    598,672.24x = 284,392,031,343.54
  5. Step 5: Solve for x
    x = 284,392,031,343.54/598,672.24
  6. Step 6: Final answer
    x = 475,037.95

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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.