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Finding the Fourth Proportional to 381,713.64, 526,906.44 and 327,782.04

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Solution

The fourth proportional to 381,713.64, 526,906.44 and 327,782.04 is: 452,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,713.64 : 526,906.44 = 327,782.04 : x
  2. Step 2: Convert to fraction form
    381,713.64/526,906.44 = 327,782.04/x
  3. Step 3: Cross multiply
    381,713.64x = 526,906.44 × 327,782.04
  4. Step 4: Simplify right side
    381,713.64x = 172,710,467,792.34
  5. Step 5: Solve for x
    x = 172,710,467,792.34/381,713.64
  6. Step 6: Final answer
    x = 452,460.82

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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.