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Finding the Fourth Proportional to 547,765.80, 821,648.70 and 193,180.20

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Solution

The fourth proportional to 547,765.80, 821,648.70 and 193,180.20 is: 289,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,765.80 : 821,648.70 = 193,180.20 : x
  2. Step 2: Convert to fraction form
    547,765.80/821,648.70 = 193,180.20/x
  3. Step 3: Cross multiply
    547,765.80x = 821,648.70 × 193,180.20
  4. Step 4: Simplify right side
    547,765.80x = 158,726,260,195.74
  5. Step 5: Solve for x
    x = 158,726,260,195.74/547,765.80
  6. Step 6: Final answer
    x = 289,770.30

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Similar ratio
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1.5x scale

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.