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Finding the Fourth Proportional to 395,003.44, 592,365.12 and 142,216.12

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Solution

The fourth proportional to 395,003.44, 592,365.12 and 142,216.12 is: 213,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,003.44 : 592,365.12 = 142,216.12 : x
  2. Step 2: Convert to fraction form
    395,003.44/592,365.12 = 142,216.12/x
  3. Step 3: Cross multiply
    395,003.44x = 592,365.12 × 142,216.12
  4. Step 4: Simplify right side
    395,003.44x = 84,243,868,989.73
  5. Step 5: Solve for x
    x = 84,243,868,989.73/395,003.44
  6. Step 6: Final answer
    x = 213,273.76

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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.