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Finding the Fourth Proportional to 381,185.28, 526,035.84 and 211,419.41

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Solution

The fourth proportional to 381,185.28, 526,035.84 and 211,419.41 is: 291,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,185.28 : 526,035.84 = 211,419.41 : x
  2. Step 2: Convert to fraction form
    381,185.28/526,035.84 = 211,419.41/x
  3. Step 3: Cross multiply
    381,185.28x = 526,035.84 × 211,419.41
  4. Step 4: Simplify right side
    381,185.28x = 111,214,184,301.48
  5. Step 5: Solve for x
    x = 111,214,184,301.48/381,185.28
  6. Step 6: Final answer
    x = 291,758.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.