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Finding the Fourth Proportional to 264,100.80, 396,151.20 and 259,726.80

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Solution

The fourth proportional to 264,100.80, 396,151.20 and 259,726.80 is: 389,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,100.80 : 396,151.20 = 259,726.80 : x
  2. Step 2: Convert to fraction form
    264,100.80/396,151.20 = 259,726.80/x
  3. Step 3: Cross multiply
    264,100.80x = 396,151.20 × 259,726.80
  4. Step 4: Simplify right side
    264,100.80x = 102,891,083,492.16
  5. Step 5: Solve for x
    x = 102,891,083,492.16/264,100.80
  6. Step 6: Final answer
    x = 389,590.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.