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Finding the Fourth Proportional to 395,422.63, 593,150.34 and 114,939.88

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Solution

The fourth proportional to 395,422.63, 593,150.34 and 114,939.88 is: 172,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,422.63 : 593,150.34 = 114,939.88 : x
  2. Step 2: Convert to fraction form
    395,422.63/593,150.34 = 114,939.88/x
  3. Step 3: Cross multiply
    395,422.63x = 593,150.34 × 114,939.88
  4. Step 4: Simplify right side
    395,422.63x = 68,176,627,849.71
  5. Step 5: Solve for x
    x = 68,176,627,849.71/395,422.63
  6. Step 6: Final answer
    x = 172,414.58

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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.