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Finding the Fourth Proportional to 598,906, 826,491.54 and 326,974

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Solution

The fourth proportional to 598,906, 826,491.54 and 326,974 is: 451,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,906 : 826,491.54 = 326,974 : x
  2. Step 2: Convert to fraction form
    598,906/826,491.54 = 326,974/x
  3. Step 3: Cross multiply
    598,906x = 826,491.54 × 326,974
  4. Step 4: Simplify right side
    598,906x = 270,241,244,799.96
  5. Step 5: Solve for x
    x = 270,241,244,799.96/598,906
  6. Step 6: Final answer
    x = 451,224.81

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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.