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Finding the Fourth Proportional to 291,197.46, 436,953.14 and 122,834.44

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Solution

The fourth proportional to 291,197.46, 436,953.14 and 122,834.44 is: 184,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,197.46 : 436,953.14 = 122,834.44 : x
  2. Step 2: Convert to fraction form
    291,197.46/436,953.14 = 122,834.44/x
  3. Step 3: Cross multiply
    291,197.46x = 436,953.14 × 122,834.44
  4. Step 4: Simplify right side
    291,197.46x = 53,672,894,258.14
  5. Step 5: Solve for x
    x = 53,672,894,258.14/291,197.46
  6. Step 6: Final answer
    x = 184,317.87

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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.