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Finding the Fourth Proportional to 458,568.29, 632,825.46 and 254,619.59

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Solution

The fourth proportional to 458,568.29, 632,825.46 and 254,619.59 is: 351,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,568.29 : 632,825.46 = 254,619.59 : x
  2. Step 2: Convert to fraction form
    458,568.29/632,825.46 = 254,619.59/x
  3. Step 3: Cross multiply
    458,568.29x = 632,825.46 × 254,619.59
  4. Step 4: Simplify right side
    458,568.29x = 161,129,759,166.76
  5. Step 5: Solve for x
    x = 161,129,759,166.76/458,568.29
  6. Step 6: Final answer
    x = 351,375.71

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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.