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Finding the Fourth Proportional to 452,553.75, 678,917.97 and 172,049.13

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Solution

The fourth proportional to 452,553.75, 678,917.97 and 172,049.13 is: 258,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,553.75 : 678,917.97 = 172,049.13 : x
  2. Step 2: Convert to fraction form
    452,553.75/678,917.97 = 172,049.13/x
  3. Step 3: Cross multiply
    452,553.75x = 678,917.97 × 172,049.13
  4. Step 4: Simplify right side
    452,553.75x = 116,807,246,079.87
  5. Step 5: Solve for x
    x = 116,807,246,079.87/452,553.75
  6. Step 6: Final answer
    x = 258,106.90

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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.