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Finding the Fourth Proportional to 410,716.80, 566,485.92 and 259,668

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Solution

The fourth proportional to 410,716.80, 566,485.92 and 259,668 is: 358,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,716.80 : 566,485.92 = 259,668 : x
  2. Step 2: Convert to fraction form
    410,716.80/566,485.92 = 259,668/x
  3. Step 3: Cross multiply
    410,716.80x = 566,485.92 × 259,668
  4. Step 4: Simplify right side
    410,716.80x = 147,098,265,874.56
  5. Step 5: Solve for x
    x = 147,098,265,874.56/410,716.80
  6. Step 6: Final answer
    x = 358,150.11

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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.