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Finding the Fourth Proportional to 498,467.64, 747,819.32 and 161,507.73

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Solution

The fourth proportional to 498,467.64, 747,819.32 and 161,507.73 is: 242,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,467.64 : 747,819.32 = 161,507.73 : x
  2. Step 2: Convert to fraction form
    498,467.64/747,819.32 = 161,507.73/x
  3. Step 3: Cross multiply
    498,467.64x = 747,819.32 × 161,507.73
  4. Step 4: Simplify right side
    498,467.64x = 120,778,600,015.81
  5. Step 5: Solve for x
    x = 120,778,600,015.81/498,467.64
  6. Step 6: Final answer
    x = 242,299.78

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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.