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Finding the Fourth Proportional to 664,809.20, 997,213.80 and 309,859.10

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Solution

The fourth proportional to 664,809.20, 997,213.80 and 309,859.10 is: 464,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,809.20 : 997,213.80 = 309,859.10 : x
  2. Step 2: Convert to fraction form
    664,809.20/997,213.80 = 309,859.10/x
  3. Step 3: Cross multiply
    664,809.20x = 997,213.80 × 309,859.10
  4. Step 4: Simplify right side
    664,809.20x = 308,995,770,575.58
  5. Step 5: Solve for x
    x = 308,995,770,575.58/664,809.20
  6. Step 6: Final answer
    x = 464,788.65

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Double scale
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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.