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Finding the Fourth Proportional to 521,922.30, 782,883.45 and 256,201.80

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Solution

The fourth proportional to 521,922.30, 782,883.45 and 256,201.80 is: 384,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,922.30 : 782,883.45 = 256,201.80 : x
  2. Step 2: Convert to fraction form
    521,922.30/782,883.45 = 256,201.80/x
  3. Step 3: Cross multiply
    521,922.30x = 782,883.45 × 256,201.80
  4. Step 4: Simplify right side
    521,922.30x = 200,576,149,080.21
  5. Step 5: Solve for x
    x = 200,576,149,080.21/521,922.30
  6. Step 6: Final answer
    x = 384,302.70

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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.