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Finding the Fourth Proportional to 397,011.40, 595,182.26 and 172,202.49

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Solution

The fourth proportional to 397,011.40, 595,182.26 and 172,202.49 is: 258,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,011.40 : 595,182.26 = 172,202.49 : x
  2. Step 2: Convert to fraction form
    397,011.40/595,182.26 = 172,202.49/x
  3. Step 3: Cross multiply
    397,011.40x = 595,182.26 × 172,202.49
  4. Step 4: Simplify right side
    397,011.40x = 102,491,867,175.83
  5. Step 5: Solve for x
    x = 102,491,867,175.83/397,011.40
  6. Step 6: Final answer
    x = 258,158.50

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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.