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Finding the Fourth Proportional to 512,439.40, 768,659.10 and 228,129.40

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Solution

The fourth proportional to 512,439.40, 768,659.10 and 228,129.40 is: 342,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,439.40 : 768,659.10 = 228,129.40 : x
  2. Step 2: Convert to fraction form
    512,439.40/768,659.10 = 228,129.40/x
  3. Step 3: Cross multiply
    512,439.40x = 768,659.10 × 228,129.40
  4. Step 4: Simplify right side
    512,439.40x = 175,353,739,287.54
  5. Step 5: Solve for x
    x = 175,353,739,287.54/512,439.40
  6. Step 6: Final answer
    x = 342,194.10

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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.