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Finding the Fourth Proportional to 381,185.88, 526,099.50 and 211,474.68

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Solution

The fourth proportional to 381,185.88, 526,099.50 and 211,474.68 is: 291,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,185.88 : 526,099.50 = 211,474.68 : x
  2. Step 2: Convert to fraction form
    381,185.88/526,099.50 = 211,474.68/x
  3. Step 3: Cross multiply
    381,185.88x = 526,099.50 × 211,474.68
  4. Step 4: Simplify right side
    381,185.88x = 111,256,723,410.66
  5. Step 5: Solve for x
    x = 111,256,723,410.66/381,185.88
  6. Step 6: Final answer
    x = 291,870.00

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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.