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Finding the Fourth Proportional to 329,018.91, 454,046.25 and 178,115.91

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Solution

The fourth proportional to 329,018.91, 454,046.25 and 178,115.91 is: 245,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,018.91 : 454,046.25 = 178,115.91 : x
  2. Step 2: Convert to fraction form
    329,018.91/454,046.25 = 178,115.91/x
  3. Step 3: Cross multiply
    329,018.91x = 454,046.25 × 178,115.91
  4. Step 4: Simplify right side
    329,018.91x = 80,872,861,000.84
  5. Step 5: Solve for x
    x = 80,872,861,000.84/329,018.91
  6. Step 6: Final answer
    x = 245,800.04

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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.