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Finding the Fourth Proportional to 291,443.96, 437,224.88 and 122,964.71

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Solution

The fourth proportional to 291,443.96, 437,224.88 and 122,964.71 is: 184,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,443.96 : 437,224.88 = 122,964.71 : x
  2. Step 2: Convert to fraction form
    291,443.96/437,224.88 = 122,964.71/x
  3. Step 3: Cross multiply
    291,443.96x = 437,224.88 × 122,964.71
  4. Step 4: Simplify right side
    291,443.96x = 53,763,228,695.27
  5. Step 5: Solve for x
    x = 53,763,228,695.27/291,443.96
  6. Step 6: Final answer
    x = 184,471.92

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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.