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Finding the Fourth Proportional to 410,797.13, 566,896.16 and 229,540.28

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Solution

The fourth proportional to 410,797.13, 566,896.16 and 229,540.28 is: 316,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,797.13 : 566,896.16 = 229,540.28 : x
  2. Step 2: Convert to fraction form
    410,797.13/566,896.16 = 229,540.28/x
  3. Step 3: Cross multiply
    410,797.13x = 566,896.16 × 229,540.28
  4. Step 4: Simplify right side
    410,797.13x = 130,125,503,297.33
  5. Step 5: Solve for x
    x = 130,125,503,297.33/410,797.13
  6. Step 6: Final answer
    x = 316,763.42

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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.