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Finding the Fourth Proportional to 417,815.25, 576,585.63 and 226,828.64

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Solution

The fourth proportional to 417,815.25, 576,585.63 and 226,828.64 is: 313,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,815.25 : 576,585.63 = 226,828.64 : x
  2. Step 2: Convert to fraction form
    417,815.25/576,585.63 = 226,828.64/x
  3. Step 3: Cross multiply
    417,815.25x = 576,585.63 × 226,828.64
  4. Step 4: Simplify right side
    417,815.25x = 130,786,131,413.52
  5. Step 5: Solve for x
    x = 130,786,131,413.52/417,815.25
  6. Step 6: Final answer
    x = 313,023.83

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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.