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Finding the Fourth Proportional to 598,274, 825,676.44 and 330,002

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Solution

The fourth proportional to 598,274, 825,676.44 and 330,002 is: 455,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,274 : 825,676.44 = 330,002 : x
  2. Step 2: Convert to fraction form
    598,274/825,676.44 = 330,002/x
  3. Step 3: Cross multiply
    598,274x = 825,676.44 × 330,002
  4. Step 4: Simplify right side
    598,274x = 272,474,876,552.88
  5. Step 5: Solve for x
    x = 272,474,876,552.88/598,274
  6. Step 6: Final answer
    x = 455,434.93

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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.