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Finding the Fourth Proportional to 406,771.27, 610,087.52 and 107,254.78

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Solution

The fourth proportional to 406,771.27, 610,087.52 and 107,254.78 is: 160,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,771.27 : 610,087.52 = 107,254.78 : x
  2. Step 2: Convert to fraction form
    406,771.27/610,087.52 = 107,254.78/x
  3. Step 3: Cross multiply
    406,771.27x = 610,087.52 × 107,254.78
  4. Step 4: Simplify right side
    406,771.27x = 65,434,801,481.26
  5. Step 5: Solve for x
    x = 65,434,801,481.26/406,771.27
  6. Step 6: Final answer
    x = 160,863.87

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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.