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Finding the Fourth Proportional to 521,976.30, 782,964.45 and 256,255.80

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Solution

The fourth proportional to 521,976.30, 782,964.45 and 256,255.80 is: 384,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,976.30 : 782,964.45 = 256,255.80 : x
  2. Step 2: Convert to fraction form
    521,976.30/782,964.45 = 256,255.80/x
  3. Step 3: Cross multiply
    521,976.30x = 782,964.45 × 256,255.80
  4. Step 4: Simplify right side
    521,976.30x = 200,639,181,506.31
  5. Step 5: Solve for x
    x = 200,639,181,506.31/521,976.30
  6. Step 6: Final answer
    x = 384,383.70

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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.