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Finding the Fourth Proportional to 270,957.64, 406,449.42 and 130,834.12

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Solution

The fourth proportional to 270,957.64, 406,449.42 and 130,834.12 is: 196,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,957.64 : 406,449.42 = 130,834.12 : x
  2. Step 2: Convert to fraction form
    270,957.64/406,449.42 = 130,834.12/x
  3. Step 3: Cross multiply
    270,957.64x = 406,449.42 × 130,834.12
  4. Step 4: Simplify right side
    270,957.64x = 53,177,452,190.21
  5. Step 5: Solve for x
    x = 53,177,452,190.21/270,957.64
  6. Step 6: Final answer
    x = 196,257.44

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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.