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Finding the Fourth Proportional to 327,435.70, 491,235.28 and 114,206.66

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Solution

The fourth proportional to 327,435.70, 491,235.28 and 114,206.66 is: 171,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,435.70 : 491,235.28 = 114,206.66 : x
  2. Step 2: Convert to fraction form
    327,435.70/491,235.28 = 114,206.66/x
  3. Step 3: Cross multiply
    327,435.70x = 491,235.28 × 114,206.66
  4. Step 4: Simplify right side
    327,435.70x = 56,102,340,602.96
  5. Step 5: Solve for x
    x = 56,102,340,602.96/327,435.70
  6. Step 6: Final answer
    x = 171,338.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.