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Finding the Fourth Proportional to 548,380.80, 822,629.52 and 174,316.32

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Solution

The fourth proportional to 548,380.80, 822,629.52 and 174,316.32 is: 261,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,380.80 : 822,629.52 = 174,316.32 : x
  2. Step 2: Convert to fraction form
    548,380.80/822,629.52 = 174,316.32/x
  3. Step 3: Cross multiply
    548,380.80x = 822,629.52 × 174,316.32
  4. Step 4: Simplify right side
    548,380.80x = 143,397,750,649.77
  5. Step 5: Solve for x
    x = 143,397,750,649.77/548,380.80
  6. Step 6: Final answer
    x = 261,493.02

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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.