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Finding the Fourth Proportional to 598,494, 825,939 and 330,239.28

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Solution

The fourth proportional to 598,494, 825,939 and 330,239.28 is: 455,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,494 : 825,939 = 330,239.28 : x
  2. Step 2: Convert to fraction form
    598,494/825,939 = 330,239.28/x
  3. Step 3: Cross multiply
    598,494x = 825,939 × 330,239.28
  4. Step 4: Simplify right side
    598,494x = 272,757,500,683.92
  5. Step 5: Solve for x
    x = 272,757,500,683.92/598,494
  6. Step 6: Final answer
    x = 455,739.74

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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.