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Finding the Fourth Proportional to 416,103.26, 574,226.64 and 225,120.74

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Solution

The fourth proportional to 416,103.26, 574,226.64 and 225,120.74 is: 310,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,103.26 : 574,226.64 = 225,120.74 : x
  2. Step 2: Convert to fraction form
    416,103.26/574,226.64 = 225,120.74/x
  3. Step 3: Cross multiply
    416,103.26x = 574,226.64 × 225,120.74
  4. Step 4: Simplify right side
    416,103.26x = 129,270,326,124.51
  5. Step 5: Solve for x
    x = 129,270,326,124.51/416,103.26
  6. Step 6: Final answer
    x = 310,668.86

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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.