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Finding the Fourth Proportional to 460,230.20, 635,116.38 and 259,026.20

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Solution

The fourth proportional to 460,230.20, 635,116.38 and 259,026.20 is: 357,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,230.20 : 635,116.38 = 259,026.20 : x
  2. Step 2: Convert to fraction form
    460,230.20/635,116.38 = 259,026.20/x
  3. Step 3: Cross multiply
    460,230.20x = 635,116.38 × 259,026.20
  4. Step 4: Simplify right side
    460,230.20x = 164,511,782,469.16
  5. Step 5: Solve for x
    x = 164,511,782,469.16/460,230.20
  6. Step 6: Final answer
    x = 357,455.43

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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.