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Finding the Fourth Proportional to 443,314.80, 664,972.20 and 409,100.40

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Solution

The fourth proportional to 443,314.80, 664,972.20 and 409,100.40 is: 613,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,314.80 : 664,972.20 = 409,100.40 : x
  2. Step 2: Convert to fraction form
    443,314.80/664,972.20 = 409,100.40/x
  3. Step 3: Cross multiply
    443,314.80x = 664,972.20 × 409,100.40
  4. Step 4: Simplify right side
    443,314.80x = 272,040,393,008.88
  5. Step 5: Solve for x
    x = 272,040,393,008.88/443,314.80
  6. Step 6: Final answer
    x = 613,650.60

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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.