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Finding the Fourth Proportional to 297,174.64, 445,878.72 and 130,846

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Solution

The fourth proportional to 297,174.64, 445,878.72 and 130,846 is: 196,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,174.64 : 445,878.72 = 130,846 : x
  2. Step 2: Convert to fraction form
    297,174.64/445,878.72 = 130,846/x
  3. Step 3: Cross multiply
    297,174.64x = 445,878.72 × 130,846
  4. Step 4: Simplify right side
    297,174.64x = 58,341,446,997.12
  5. Step 5: Solve for x
    x = 58,341,446,997.12/297,174.64
  6. Step 6: Final answer
    x = 196,320.41

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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.