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Finding the Fourth Proportional to 458,033.80, 632,090.43 and 254,098.09

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Solution

The fourth proportional to 458,033.80, 632,090.43 and 254,098.09 is: 350,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,033.80 : 632,090.43 = 254,098.09 : x
  2. Step 2: Convert to fraction form
    458,033.80/632,090.43 = 254,098.09/x
  3. Step 3: Cross multiply
    458,033.80x = 632,090.43 × 254,098.09
  4. Step 4: Simplify right side
    458,033.80x = 160,612,970,970.28
  5. Step 5: Solve for x
    x = 160,612,970,970.28/458,033.80
  6. Step 6: Final answer
    x = 350,657.46

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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.