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Finding the Fourth Proportional to 397,009.56, 595,179.49 and 172,200.65

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Solution

The fourth proportional to 397,009.56, 595,179.49 and 172,200.65 is: 258,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,009.56 : 595,179.49 = 172,200.65 : x
  2. Step 2: Convert to fraction form
    397,009.56/595,179.49 = 172,200.65/x
  3. Step 3: Cross multiply
    397,009.56x = 595,179.49 × 172,200.65
  4. Step 4: Simplify right side
    397,009.56x = 102,490,295,105.08
  5. Step 5: Solve for x
    x = 102,490,295,105.08/397,009.56
  6. Step 6: Final answer
    x = 258,155.74

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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.