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Finding the Fourth Proportional to 410,649.21, 566,684.24 and 229,355.82

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Solution

The fourth proportional to 410,649.21, 566,684.24 and 229,355.82 is: 316,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,649.21 : 566,684.24 = 229,355.82 : x
  2. Step 2: Convert to fraction form
    410,649.21/566,684.24 = 229,355.82/x
  3. Step 3: Cross multiply
    410,649.21x = 566,684.24 × 229,355.82
  4. Step 4: Simplify right side
    410,649.21x = 129,972,327,399.50
  5. Step 5: Solve for x
    x = 129,972,327,399.50/410,649.21
  6. Step 6: Final answer
    x = 316,504.51

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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.