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Finding the Fourth Proportional to 410,492.44, 566,489.19 and 229,198.24

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Solution

The fourth proportional to 410,492.44, 566,489.19 and 229,198.24 is: 316,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,492.44 : 566,489.19 = 229,198.24 : x
  2. Step 2: Convert to fraction form
    410,492.44/566,489.19 = 229,198.24/x
  3. Step 3: Cross multiply
    410,492.44x = 566,489.19 × 229,198.24
  4. Step 4: Simplify right side
    410,492.44x = 129,838,325,327.03
  5. Step 5: Solve for x
    x = 129,838,325,327.03/410,492.44
  6. Step 6: Final answer
    x = 316,298.94

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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.