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Finding the Fourth Proportional to 291,138.76, 436,448.43 and 113,604.49

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Solution

The fourth proportional to 291,138.76, 436,448.43 and 113,604.49 is: 170,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,138.76 : 436,448.43 = 113,604.49 : x
  2. Step 2: Convert to fraction form
    291,138.76/436,448.43 = 113,604.49/x
  3. Step 3: Cross multiply
    291,138.76x = 436,448.43 × 113,604.49
  4. Step 4: Simplify right side
    291,138.76x = 49,582,501,301.45
  5. Step 5: Solve for x
    x = 49,582,501,301.45/291,138.76
  6. Step 6: Final answer
    x = 170,305.39

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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.