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Finding the Fourth Proportional to 291,224.90, 436,658.96 and 113,524.31

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Solution

The fourth proportional to 291,224.90, 436,658.96 and 113,524.31 is: 170,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224.90 : 436,658.96 = 113,524.31 : x
  2. Step 2: Convert to fraction form
    291,224.90/436,658.96 = 113,524.31/x
  3. Step 3: Cross multiply
    291,224.90x = 436,658.96 × 113,524.31
  4. Step 4: Simplify right side
    291,224.90x = 49,571,408,514.78
  5. Step 5: Solve for x
    x = 49,571,408,514.78/291,224.90
  6. Step 6: Final answer
    x = 170,216.93

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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.