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Finding the Fourth Proportional to 335,014.66, 462,359.54 and 199,049.72

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Solution

The fourth proportional to 335,014.66, 462,359.54 and 199,049.72 is: 274,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,014.66 : 462,359.54 = 199,049.72 : x
  2. Step 2: Convert to fraction form
    335,014.66/462,359.54 = 199,049.72/x
  3. Step 3: Cross multiply
    335,014.66x = 462,359.54 × 199,049.72
  4. Step 4: Simplify right side
    335,014.66x = 92,032,536,976.33
  5. Step 5: Solve for x
    x = 92,032,536,976.33/335,014.66
  6. Step 6: Final answer
    x = 274,711.97

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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.