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Finding the Fourth Proportional to 327,710.67, 491,065.26 and 220,698.93

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Solution

The fourth proportional to 327,710.67, 491,065.26 and 220,698.93 is: 330,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,710.67 : 491,065.26 = 220,698.93 : x
  2. Step 2: Convert to fraction form
    327,710.67/491,065.26 = 220,698.93/x
  3. Step 3: Cross multiply
    327,710.67x = 491,065.26 × 220,698.93
  4. Step 4: Simplify right side
    327,710.67x = 108,377,577,442.17
  5. Step 5: Solve for x
    x = 108,377,577,442.17/327,710.67
  6. Step 6: Final answer
    x = 330,711.16

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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.