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Finding the Fourth Proportional to 458,649.24, 632,907.72 and 254,687.73

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Solution

The fourth proportional to 458,649.24, 632,907.72 and 254,687.73 is: 351,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,649.24 : 632,907.72 = 254,687.73 : x
  2. Step 2: Convert to fraction form
    458,649.24/632,907.72 = 254,687.73/x
  3. Step 3: Cross multiply
    458,649.24x = 632,907.72 × 254,687.73
  4. Step 4: Simplify right side
    458,649.24x = 161,193,830,506.28
  5. Step 5: Solve for x
    x = 161,193,830,506.28/458,649.24
  6. Step 6: Final answer
    x = 351,453.39

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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.