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Finding the Fourth Proportional to 395,460.96, 593,292.56 and 114,978.21

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Solution

The fourth proportional to 395,460.96, 593,292.56 and 114,978.21 is: 172,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,460.96 : 593,292.56 = 114,978.21 : x
  2. Step 2: Convert to fraction form
    395,460.96/593,292.56 = 114,978.21/x
  3. Step 3: Cross multiply
    395,460.96x = 593,292.56 × 114,978.21
  4. Step 4: Simplify right side
    395,460.96x = 68,215,715,980.23
  5. Step 5: Solve for x
    x = 68,215,715,980.23/395,460.96
  6. Step 6: Final answer
    x = 172,496.71

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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.