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Finding the Fourth Proportional to 395,489.82, 593,262.67 and 195,756.58

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Solution

The fourth proportional to 395,489.82, 593,262.67 and 195,756.58 is: 293,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,489.82 : 593,262.67 = 195,756.58 : x
  2. Step 2: Convert to fraction form
    395,489.82/593,262.67 = 195,756.58/x
  3. Step 3: Cross multiply
    395,489.82x = 593,262.67 × 195,756.58
  4. Step 4: Simplify right side
    395,489.82x = 116,135,071,940.10
  5. Step 5: Solve for x
    x = 116,135,071,940.10/395,489.82
  6. Step 6: Final answer
    x = 293,648.70

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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.