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Finding the Fourth Proportional to 410,409.27, 566,363.39 and 229,119.62

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Solution

The fourth proportional to 410,409.27, 566,363.39 and 229,119.62 is: 316,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,409.27 : 566,363.39 = 229,119.62 : x
  2. Step 2: Convert to fraction form
    410,409.27/566,363.39 = 229,119.62/x
  3. Step 3: Cross multiply
    410,409.27x = 566,363.39 × 229,119.62
  4. Step 4: Simplify right side
    410,409.27x = 129,764,960,721.30
  5. Step 5: Solve for x
    x = 129,764,960,721.30/410,409.27
  6. Step 6: Final answer
    x = 316,184.28

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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.