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Finding the Fourth Proportional to 417,596.27, 576,284.36 and 226,609.65

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Solution

The fourth proportional to 417,596.27, 576,284.36 and 226,609.65 is: 312,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,596.27 : 576,284.36 = 226,609.65 : x
  2. Step 2: Convert to fraction form
    417,596.27/576,284.36 = 226,609.65/x
  3. Step 3: Cross multiply
    417,596.27x = 576,284.36 × 226,609.65
  4. Step 4: Simplify right side
    417,596.27x = 130,591,595,987.03
  5. Step 5: Solve for x
    x = 130,591,595,987.03/417,596.27
  6. Step 6: Final answer
    x = 312,722.14

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