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Finding the Fourth Proportional to 357,410.09, 493,206.58 and 196,286.33

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Solution

The fourth proportional to 357,410.09, 493,206.58 and 196,286.33 is: 270,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,410.09 : 493,206.58 = 196,286.33 : x
  2. Step 2: Convert to fraction form
    357,410.09/493,206.58 = 196,286.33/x
  3. Step 3: Cross multiply
    357,410.09x = 493,206.58 × 196,286.33
  4. Step 4: Simplify right side
    357,410.09x = 96,809,709,520.05
  5. Step 5: Solve for x
    x = 96,809,709,520.05/357,410.09
  6. Step 6: Final answer
    x = 270,864.51

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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.