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Finding the Fourth Proportional to 512,000.80, 768,001.20 and 157,069.60

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Solution

The fourth proportional to 512,000.80, 768,001.20 and 157,069.60 is: 235,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,000.80 : 768,001.20 = 157,069.60 : x
  2. Step 2: Convert to fraction form
    512,000.80/768,001.20 = 157,069.60/x
  3. Step 3: Cross multiply
    512,000.80x = 768,001.20 × 157,069.60
  4. Step 4: Simplify right side
    512,000.80x = 120,629,641,283.52
  5. Step 5: Solve for x
    x = 120,629,641,283.52/512,000.80
  6. Step 6: Final answer
    x = 235,604.40

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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.