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Finding the Fourth Proportional to 458,520.16, 632,765.28 and 254,584.24

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Solution

The fourth proportional to 458,520.16, 632,765.28 and 254,584.24 is: 351,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,520.16 : 632,765.28 = 254,584.24 : x
  2. Step 2: Convert to fraction form
    458,520.16/632,765.28 = 254,584.24/x
  3. Step 3: Cross multiply
    458,520.16x = 632,765.28 × 254,584.24
  4. Step 4: Simplify right side
    458,520.16x = 161,092,067,907.19
  5. Step 5: Solve for x
    x = 161,092,067,907.19/458,520.16
  6. Step 6: Final answer
    x = 351,330.39

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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.