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Finding the Fourth Proportional to 410,839.26, 566,954.28 and 229,582.41

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Solution

The fourth proportional to 410,839.26, 566,954.28 and 229,582.41 is: 316,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,839.26 : 566,954.28 = 229,582.41 : x
  2. Step 2: Convert to fraction form
    410,839.26/566,954.28 = 229,582.41/x
  3. Step 3: Cross multiply
    410,839.26x = 566,954.28 × 229,582.41
  4. Step 4: Simplify right side
    410,839.26x = 130,162,729,962.22
  5. Step 5: Solve for x
    x = 130,162,729,962.22/410,839.26
  6. Step 6: Final answer
    x = 316,821.55

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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.