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Finding the Fourth Proportional to 397,072.73, 595,274.52 and 172,264.02

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Solution

The fourth proportional to 397,072.73, 595,274.52 and 172,264.02 is: 258,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,072.73 : 595,274.52 = 172,264.02 : x
  2. Step 2: Convert to fraction form
    397,072.73/595,274.52 = 172,264.02/x
  3. Step 3: Cross multiply
    397,072.73x = 595,274.52 × 172,264.02
  4. Step 4: Simplify right side
    397,072.73x = 102,544,379,263.50
  5. Step 5: Solve for x
    x = 102,544,379,263.50/397,072.73
  6. Step 6: Final answer
    x = 258,250.87

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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.