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Finding the Fourth Proportional to 297,790, 446,422.50 and 110,670.28

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Solution

The fourth proportional to 297,790, 446,422.50 and 110,670.28 is: 165,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,790 : 446,422.50 = 110,670.28 : x
  2. Step 2: Convert to fraction form
    297,790/446,422.50 = 110,670.28/x
  3. Step 3: Cross multiply
    297,790x = 446,422.50 × 110,670.28
  4. Step 4: Simplify right side
    297,790x = 49,405,703,073.30
  5. Step 5: Solve for x
    x = 49,405,703,073.30/297,790
  6. Step 6: Final answer
    x = 165,907.86

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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.