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Finding the Fourth Proportional to 297,654.10, 446,474.67 and 73,015.64

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Solution

The fourth proportional to 297,654.10, 446,474.67 and 73,015.64 is: 109,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,654.10 : 446,474.67 = 73,015.64 : x
  2. Step 2: Convert to fraction form
    297,654.10/446,474.67 = 73,015.64/x
  3. Step 3: Cross multiply
    297,654.10x = 446,474.67 × 73,015.64
  4. Step 4: Simplify right side
    297,654.10x = 32,599,633,773.84
  5. Step 5: Solve for x
    x = 32,599,633,773.84/297,654.10
  6. Step 6: Final answer
    x = 109,521.87

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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.