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Finding the Fourth Proportional to 521,954.30, 782,931.45 and 256,233.80

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Solution

The fourth proportional to 521,954.30, 782,931.45 and 256,233.80 is: 384,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,954.30 : 782,931.45 = 256,233.80 : x
  2. Step 2: Convert to fraction form
    521,954.30/782,931.45 = 256,233.80/x
  3. Step 3: Cross multiply
    521,954.30x = 782,931.45 × 256,233.80
  4. Step 4: Simplify right side
    521,954.30x = 200,613,500,573.01
  5. Step 5: Solve for x
    x = 200,613,500,573.01/521,954.30
  6. Step 6: Final answer
    x = 384,350.70

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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.