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Finding the Fourth Proportional to 396,971.93, 595,456.96 and 172,303.23

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Solution

The fourth proportional to 396,971.93, 595,456.96 and 172,303.23 is: 258,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,971.93 : 595,456.96 = 172,303.23 : x
  2. Step 2: Convert to fraction form
    396,971.93/595,456.96 = 172,303.23/x
  3. Step 3: Cross multiply
    396,971.93x = 595,456.96 × 172,303.23
  4. Step 4: Simplify right side
    396,971.93x = 102,599,157,533.98
  5. Step 5: Solve for x
    x = 102,599,157,533.98/396,971.93
  6. Step 6: Final answer
    x = 258,454.44

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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.