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Finding the Fourth Proportional to 395,237.67, 592,493.23 and 142,456.30

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Solution

The fourth proportional to 395,237.67, 592,493.23 and 142,456.30 is: 213,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,237.67 : 592,493.23 = 142,456.30 : x
  2. Step 2: Convert to fraction form
    395,237.67/592,493.23 = 142,456.30/x
  3. Step 3: Cross multiply
    395,237.67x = 592,493.23 × 142,456.30
  4. Step 4: Simplify right side
    395,237.67x = 84,404,393,320.85
  5. Step 5: Solve for x
    x = 84,404,393,320.85/395,237.67
  6. Step 6: Final answer
    x = 213,553.51

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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.