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Finding the Fourth Proportional to 329,460.68, 493,626.30 and 221,187.24

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Solution

The fourth proportional to 329,460.68, 493,626.30 and 221,187.24 is: 331,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,460.68 : 493,626.30 = 221,187.24 : x
  2. Step 2: Convert to fraction form
    329,460.68/493,626.30 = 221,187.24/x
  3. Step 3: Cross multiply
    329,460.68x = 493,626.30 × 221,187.24
  4. Step 4: Simplify right side
    329,460.68x = 109,183,838,888.41
  5. Step 5: Solve for x
    x = 109,183,838,888.41/329,460.68
  6. Step 6: Final answer
    x = 331,401.73

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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.