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Finding the Fourth Proportional to 416,972.76, 575,418.22 and 233,209.41

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Solution

The fourth proportional to 416,972.76, 575,418.22 and 233,209.41 is: 321,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,972.76 : 575,418.22 = 233,209.41 : x
  2. Step 2: Convert to fraction form
    416,972.76/575,418.22 = 233,209.41/x
  3. Step 3: Cross multiply
    416,972.76x = 575,418.22 × 233,209.41
  4. Step 4: Simplify right side
    416,972.76x = 134,192,943,589.45
  5. Step 5: Solve for x
    x = 134,192,943,589.45/416,972.76
  6. Step 6: Final answer
    x = 321,826.64

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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.