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Finding the Fourth Proportional to 335,371.96, 462,660.64 and 199,328.60

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Solution

The fourth proportional to 335,371.96, 462,660.64 and 199,328.60 is: 274,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,371.96 : 462,660.64 = 199,328.60 : x
  2. Step 2: Convert to fraction form
    335,371.96/462,660.64 = 199,328.60/x
  3. Step 3: Cross multiply
    335,371.96x = 462,660.64 × 199,328.60
  4. Step 4: Simplify right side
    335,371.96x = 92,221,496,649.66
  5. Step 5: Solve for x
    x = 92,221,496,649.66/335,371.96
  6. Step 6: Final answer
    x = 274,982.73

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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.