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Finding the Fourth Proportional to 499,052.86, 748,793.73 and 162,196.74

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Solution

The fourth proportional to 499,052.86, 748,793.73 and 162,196.74 is: 243,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,052.86 : 748,793.73 = 162,196.74 : x
  2. Step 2: Convert to fraction form
    499,052.86/748,793.73 = 162,196.74/x
  3. Step 3: Cross multiply
    499,052.86x = 748,793.73 × 162,196.74
  4. Step 4: Simplify right side
    499,052.86x = 121,451,902,546.68
  5. Step 5: Solve for x
    x = 121,451,902,546.68/499,052.86
  6. Step 6: Final answer
    x = 243,364.81

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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.