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Finding the Fourth Proportional to 395,459.46, 593,290.31 and 114,976.71

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Solution

The fourth proportional to 395,459.46, 593,290.31 and 114,976.71 is: 172,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,459.46 : 593,290.31 = 114,976.71 : x
  2. Step 2: Convert to fraction form
    395,459.46/593,290.31 = 114,976.71/x
  3. Step 3: Cross multiply
    395,459.46x = 593,290.31 × 114,976.71
  4. Step 4: Simplify right side
    395,459.46x = 68,214,567,343.80
  5. Step 5: Solve for x
    x = 68,214,567,343.80/395,459.46
  6. Step 6: Final answer
    x = 172,494.46

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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.