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Finding the Fourth Proportional to 521,606.20, 782,409.32 and 284,819.68

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Solution

The fourth proportional to 521,606.20, 782,409.32 and 284,819.68 is: 427,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,606.20 : 782,409.32 = 284,819.68 : x
  2. Step 2: Convert to fraction form
    521,606.20/782,409.32 = 284,819.68/x
  3. Step 3: Cross multiply
    521,606.20x = 782,409.32 × 284,819.68
  4. Step 4: Simplify right side
    521,606.20x = 222,845,572,151.42
  5. Step 5: Solve for x
    x = 222,845,572,151.42/521,606.20
  6. Step 6: Final answer
    x = 427,229.53

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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.