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Finding the Fourth Proportional to 329,057.88, 454,170.05 and 225,833.30

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Solution

The fourth proportional to 329,057.88, 454,170.05 and 225,833.30 is: 311,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,057.88 : 454,170.05 = 225,833.30 : x
  2. Step 2: Convert to fraction form
    329,057.88/454,170.05 = 225,833.30/x
  3. Step 3: Cross multiply
    329,057.88x = 454,170.05 × 225,833.30
  4. Step 4: Simplify right side
    329,057.88x = 102,566,721,152.67
  5. Step 5: Solve for x
    x = 102,566,721,152.67/329,057.88
  6. Step 6: Final answer
    x = 311,698.12

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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.