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Finding the Fourth Proportional to 395,523.14, 593,237.66 and 103,383.68

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Solution

The fourth proportional to 395,523.14, 593,237.66 and 103,383.68 is: 155,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,523.14 : 593,237.66 = 103,383.68 : x
  2. Step 2: Convert to fraction form
    395,523.14/593,237.66 = 103,383.68/x
  3. Step 3: Cross multiply
    395,523.14x = 593,237.66 × 103,383.68
  4. Step 4: Simplify right side
    395,523.14x = 61,331,088,922.28
  5. Step 5: Solve for x
    x = 61,331,088,922.28/395,523.14
  6. Step 6: Final answer
    x = 155,063.22

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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.