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Finding the Fourth Proportional to 410,718.75, 566,791.88 and 231,870.75

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Solution

The fourth proportional to 410,718.75, 566,791.88 and 231,870.75 is: 319,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,718.75 : 566,791.88 = 231,870.75 : x
  2. Step 2: Convert to fraction form
    410,718.75/566,791.88 = 231,870.75/x
  3. Step 3: Cross multiply
    410,718.75x = 566,791.88 × 231,870.75
  4. Step 4: Simplify right side
    410,718.75x = 131,422,457,150.16
  5. Step 5: Solve for x
    x = 131,422,457,150.16/410,718.75
  6. Step 6: Final answer
    x = 319,981.64

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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.