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Finding the Fourth Proportional to 431,388.60, 647,082.90 and 274,313.40

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Solution

The fourth proportional to 431,388.60, 647,082.90 and 274,313.40 is: 411,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,388.60 : 647,082.90 = 274,313.40 : x
  2. Step 2: Convert to fraction form
    431,388.60/647,082.90 = 274,313.40/x
  3. Step 3: Cross multiply
    431,388.60x = 647,082.90 × 274,313.40
  4. Step 4: Simplify right side
    431,388.60x = 177,503,510,380.86
  5. Step 5: Solve for x
    x = 177,503,510,380.86/431,388.60
  6. Step 6: Final answer
    x = 411,470.10

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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.