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Finding the Fourth Proportional to 521,743.80, 782,615.70 and 256,023.30

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Solution

The fourth proportional to 521,743.80, 782,615.70 and 256,023.30 is: 384,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,743.80 : 782,615.70 = 256,023.30 : x
  2. Step 2: Convert to fraction form
    521,743.80/782,615.70 = 256,023.30/x
  3. Step 3: Cross multiply
    521,743.80x = 782,615.70 × 256,023.30
  4. Step 4: Simplify right side
    521,743.80x = 200,367,854,145.81
  5. Step 5: Solve for x
    x = 200,367,854,145.81/521,743.80
  6. Step 6: Final answer
    x = 384,034.95

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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.