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Finding the Fourth Proportional to 407,739.40, 611,609.10 and 256,180.30

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Solution

The fourth proportional to 407,739.40, 611,609.10 and 256,180.30 is: 384,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,739.40 : 611,609.10 = 256,180.30 : x
  2. Step 2: Convert to fraction form
    407,739.40/611,609.10 = 256,180.30/x
  3. Step 3: Cross multiply
    407,739.40x = 611,609.10 × 256,180.30
  4. Step 4: Simplify right side
    407,739.40x = 156,682,202,720.73
  5. Step 5: Solve for x
    x = 156,682,202,720.73/407,739.40
  6. Step 6: Final answer
    x = 384,270.45

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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.