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Finding the Fourth Proportional to 548,820.30, 823,290.93 and 174,757.26

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Solution

The fourth proportional to 548,820.30, 823,290.93 and 174,757.26 is: 262,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,820.30 : 823,290.93 = 174,757.26 : x
  2. Step 2: Convert to fraction form
    548,820.30/823,290.93 = 174,757.26/x
  3. Step 3: Cross multiply
    548,820.30x = 823,290.93 × 174,757.26
  4. Step 4: Simplify right side
    548,820.30x = 143,876,067,109.65
  5. Step 5: Solve for x
    x = 143,876,067,109.65/548,820.30
  6. Step 6: Final answer
    x = 262,155.15

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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.