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Finding the Fourth Proportional to 396,976.44, 595,463.70 and 172,307.73

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Solution

The fourth proportional to 396,976.44, 595,463.70 and 172,307.73 is: 258,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,976.44 : 595,463.70 = 172,307.73 : x
  2. Step 2: Convert to fraction form
    396,976.44/595,463.70 = 172,307.73/x
  3. Step 3: Cross multiply
    396,976.44x = 595,463.70 × 172,307.73
  4. Step 4: Simplify right side
    396,976.44x = 102,602,998,444.40
  5. Step 5: Solve for x
    x = 102,602,998,444.40/396,976.44
  6. Step 6: Final answer
    x = 258,461.18

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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.