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Finding the Fourth Proportional to 291,231.90, 436,847.85 and 172,842.30

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Solution

The fourth proportional to 291,231.90, 436,847.85 and 172,842.30 is: 259,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231.90 : 436,847.85 = 172,842.30 : x
  2. Step 2: Convert to fraction form
    291,231.90/436,847.85 = 172,842.30/x
  3. Step 3: Cross multiply
    291,231.90x = 436,847.85 × 172,842.30
  4. Step 4: Simplify right side
    291,231.90x = 75,505,787,144.06
  5. Step 5: Solve for x
    x = 75,505,787,144.06/291,231.90
  6. Step 6: Final answer
    x = 259,263.45

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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.