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Finding the Fourth Proportional to 291,443.92, 437,224.82 and 122,964.66

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Solution

The fourth proportional to 291,443.92, 437,224.82 and 122,964.66 is: 184,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,443.92 : 437,224.82 = 122,964.66 : x
  2. Step 2: Convert to fraction form
    291,443.92/437,224.82 = 122,964.66/x
  3. Step 3: Cross multiply
    291,443.92x = 437,224.82 × 122,964.66
  4. Step 4: Simplify right side
    291,443.92x = 53,763,202,359.63
  5. Step 5: Solve for x
    x = 53,763,202,359.63/291,443.92
  6. Step 6: Final answer
    x = 184,471.86

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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.