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Finding the Fourth Proportional to 329,468.54, 494,025.21 and 177,746.96

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Solution

The fourth proportional to 329,468.54, 494,025.21 and 177,746.96 is: 266,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,468.54 : 494,025.21 = 177,746.96 : x
  2. Step 2: Convert to fraction form
    329,468.54/494,025.21 = 177,746.96/x
  3. Step 3: Cross multiply
    329,468.54x = 494,025.21 × 177,746.96
  4. Step 4: Simplify right side
    329,468.54x = 87,811,480,475.92
  5. Step 5: Solve for x
    x = 87,811,480,475.92/329,468.54
  6. Step 6: Final answer
    x = 266,524.63

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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.