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Finding the Fourth Proportional to 397,034.29, 595,216.63 and 172,225.45

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Solution

The fourth proportional to 397,034.29, 595,216.63 and 172,225.45 is: 258,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,034.29 : 595,216.63 = 172,225.45 : x
  2. Step 2: Convert to fraction form
    397,034.29/595,216.63 = 172,225.45/x
  3. Step 3: Cross multiply
    397,034.29x = 595,216.63 × 172,225.45
  4. Step 4: Simplify right side
    397,034.29x = 102,511,451,949.23
  5. Step 5: Solve for x
    x = 102,511,451,949.23/397,034.29
  6. Step 6: Final answer
    x = 258,192.94

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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.