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Finding the Fourth Proportional to 598,941, 825,456.02 and 496,426.59

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Solution

The fourth proportional to 598,941, 825,456.02 and 496,426.59 is: 684,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,941 : 825,456.02 = 496,426.59 : x
  2. Step 2: Convert to fraction form
    598,941/825,456.02 = 496,426.59/x
  3. Step 3: Cross multiply
    598,941x = 825,456.02 × 496,426.59
  4. Step 4: Simplify right side
    598,941x = 409,778,314,721.44
  5. Step 5: Solve for x
    x = 409,778,314,721.44/598,941
  6. Step 6: Final answer
    x = 684,171.42

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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.