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Finding the Fourth Proportional to 458,105.44, 632,190.72 and 254,160.16

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Solution

The fourth proportional to 458,105.44, 632,190.72 and 254,160.16 is: 350,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,105.44 : 632,190.72 = 254,160.16 : x
  2. Step 2: Convert to fraction form
    458,105.44/632,190.72 = 254,160.16/x
  3. Step 3: Cross multiply
    458,105.44x = 632,190.72 × 254,160.16
  4. Step 4: Simplify right side
    458,105.44x = 160,677,694,545.72
  5. Step 5: Solve for x
    x = 160,677,694,545.72/458,105.44
  6. Step 6: Final answer
    x = 350,743.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.