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Finding the Fourth Proportional to 317,014.64, 437,524.94 and 196,194.84

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Solution

The fourth proportional to 317,014.64, 437,524.94 and 196,194.84 is: 270,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,014.64 : 437,524.94 = 196,194.84 : x
  2. Step 2: Convert to fraction form
    317,014.64/437,524.94 = 196,194.84/x
  3. Step 3: Cross multiply
    317,014.64x = 437,524.94 × 196,194.84
  4. Step 4: Simplify right side
    317,014.64x = 85,840,135,599.31
  5. Step 5: Solve for x
    x = 85,840,135,599.31/317,014.64
  6. Step 6: Final answer
    x = 270,776.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.