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Finding the Fourth Proportional to 297,874.56, 411,162.72 and 190,733.28

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Solution

The fourth proportional to 297,874.56, 411,162.72 and 190,733.28 is: 263,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,874.56 : 411,162.72 = 190,733.28 : x
  2. Step 2: Convert to fraction form
    297,874.56/411,162.72 = 190,733.28/x
  3. Step 3: Cross multiply
    297,874.56x = 411,162.72 × 190,733.28
  4. Step 4: Simplify right side
    297,874.56x = 78,422,414,199.32
  5. Step 5: Solve for x
    x = 78,422,414,199.32/297,874.56
  6. Step 6: Final answer
    x = 263,273.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.