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Finding the Fourth Proportional to 548,818.80, 823,287.24 and 174,754.32

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Solution

The fourth proportional to 548,818.80, 823,287.24 and 174,754.32 is: 262,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,818.80 : 823,287.24 = 174,754.32 : x
  2. Step 2: Convert to fraction form
    548,818.80/823,287.24 = 174,754.32/x
  3. Step 3: Cross multiply
    548,818.80x = 823,287.24 × 174,754.32
  4. Step 4: Simplify right side
    548,818.80x = 143,873,001,790.88
  5. Step 5: Solve for x
    x = 143,873,001,790.88/548,818.80
  6. Step 6: Final answer
    x = 262,150.28

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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.