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Finding the Fourth Proportional to 458,321.75, 632,474.50 and 254,360.82

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Solution

The fourth proportional to 458,321.75, 632,474.50 and 254,360.82 is: 351,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,321.75 : 632,474.50 = 254,360.82 : x
  2. Step 2: Convert to fraction form
    458,321.75/632,474.50 = 254,360.82/x
  3. Step 3: Cross multiply
    458,321.75x = 632,474.50 × 254,360.82
  4. Step 4: Simplify right side
    458,321.75x = 160,876,732,449.09
  5. Step 5: Solve for x
    x = 160,876,732,449.09/458,321.75
  6. Step 6: Final answer
    x = 351,012.65

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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.