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Finding the Fourth Proportional to 396,985.80, 595,478.70 and 172,453.80

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Solution

The fourth proportional to 396,985.80, 595,478.70 and 172,453.80 is: 258,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,985.80 : 595,478.70 = 172,453.80 : x
  2. Step 2: Convert to fraction form
    396,985.80/595,478.70 = 172,453.80/x
  3. Step 3: Cross multiply
    396,985.80x = 595,478.70 × 172,453.80
  4. Step 4: Simplify right side
    396,985.80x = 102,692,564,634.06
  5. Step 5: Solve for x
    x = 102,692,564,634.06/396,985.80
  6. Step 6: Final answer
    x = 258,680.70

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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.