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Finding the Fourth Proportional to 395,580.64, 593,469.36 and 115,097.86

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Solution

The fourth proportional to 395,580.64, 593,469.36 and 115,097.86 is: 172,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,580.64 : 593,469.36 = 115,097.86 : x
  2. Step 2: Convert to fraction form
    395,580.64/593,469.36 = 115,097.86/x
  3. Step 3: Cross multiply
    395,580.64x = 593,469.36 × 115,097.86
  4. Step 4: Simplify right side
    395,580.64x = 68,307,053,311.57
  5. Step 5: Solve for x
    x = 68,307,053,311.57/395,580.64
  6. Step 6: Final answer
    x = 172,675.42

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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.