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Finding the Fourth Proportional to 410,491.44, 566,487.81 and 229,197.24

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Solution

The fourth proportional to 410,491.44, 566,487.81 and 229,197.24 is: 316,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,491.44 : 566,487.81 = 229,197.24 : x
  2. Step 2: Convert to fraction form
    410,491.44/566,487.81 = 229,197.24/x
  3. Step 3: Cross multiply
    410,491.44x = 566,487.81 × 229,197.24
  4. Step 4: Simplify right side
    410,491.44x = 129,837,442,545.64
  5. Step 5: Solve for x
    x = 129,837,442,545.64/410,491.44
  6. Step 6: Final answer
    x = 316,297.56

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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.