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Finding the Fourth Proportional to 458,116.26, 632,179.10 and 254,165.01

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Solution

The fourth proportional to 458,116.26, 632,179.10 and 254,165.01 is: 350,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,116.26 : 632,179.10 = 254,165.01 : x
  2. Step 2: Convert to fraction form
    458,116.26/632,179.10 = 254,165.01/x
  3. Step 3: Cross multiply
    458,116.26x = 632,179.10 × 254,165.01
  4. Step 4: Simplify right side
    458,116.26x = 160,677,806,002.47
  5. Step 5: Solve for x
    x = 160,677,806,002.47/458,116.26
  6. Step 6: Final answer
    x = 350,735.87

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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.