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Finding the Fourth Proportional to 521,975.80, 782,963.70 and 256,255.30

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Solution

The fourth proportional to 521,975.80, 782,963.70 and 256,255.30 is: 384,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,975.80 : 782,963.70 = 256,255.30 : x
  2. Step 2: Convert to fraction form
    521,975.80/782,963.70 = 256,255.30/x
  3. Step 3: Cross multiply
    521,975.80x = 782,963.70 × 256,255.30
  4. Step 4: Simplify right side
    521,975.80x = 200,638,597,832.61
  5. Step 5: Solve for x
    x = 200,638,597,832.61/521,975.80
  6. Step 6: Final answer
    x = 384,382.95

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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.