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Finding the Fourth Proportional to 395,299.22, 592,965.23 and 114,816.47

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Solution

The fourth proportional to 395,299.22, 592,965.23 and 114,816.47 is: 172,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,299.22 : 592,965.23 = 114,816.47 : x
  2. Step 2: Convert to fraction form
    395,299.22/592,965.23 = 114,816.47/x
  3. Step 3: Cross multiply
    395,299.22x = 592,965.23 × 114,816.47
  4. Step 4: Simplify right side
    395,299.22x = 68,082,171,002.43
  5. Step 5: Solve for x
    x = 68,082,171,002.43/395,299.22
  6. Step 6: Final answer
    x = 172,229.46

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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.