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Finding the Fourth Proportional to 410,718.25, 566,791.19 and 231,870.25

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Solution

The fourth proportional to 410,718.25, 566,791.19 and 231,870.25 is: 319,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,718.25 : 566,791.19 = 231,870.25 : x
  2. Step 2: Convert to fraction form
    410,718.25/566,791.19 = 231,870.25/x
  3. Step 3: Cross multiply
    410,718.25x = 566,791.19 × 231,870.25
  4. Step 4: Simplify right side
    410,718.25x = 131,422,014,923.10
  5. Step 5: Solve for x
    x = 131,422,014,923.10/410,718.25
  6. Step 6: Final answer
    x = 319,980.95

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Why These Related Problems?

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