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Finding the Fourth Proportional to 297,892.16, 446,697.85 and 108,218.78

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Solution

The fourth proportional to 297,892.16, 446,697.85 and 108,218.78 is: 162,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,892.16 : 446,697.85 = 108,218.78 : x
  2. Step 2: Convert to fraction form
    297,892.16/446,697.85 = 108,218.78/x
  3. Step 3: Cross multiply
    297,892.16x = 446,697.85 × 108,218.78
  4. Step 4: Simplify right side
    297,892.16x = 48,341,096,355.62
  5. Step 5: Solve for x
    x = 48,341,096,355.62/297,892.16
  6. Step 6: Final answer
    x = 162,277.17

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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.