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Finding the Fourth Proportional to 381,143.20, 526,009.92 and 211,432

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Solution

The fourth proportional to 381,143.20, 526,009.92 and 211,432 is: 291,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,143.20 : 526,009.92 = 211,432 : x
  2. Step 2: Convert to fraction form
    381,143.20/526,009.92 = 211,432/x
  3. Step 3: Cross multiply
    381,143.20x = 526,009.92 × 211,432
  4. Step 4: Simplify right side
    381,143.20x = 111,215,329,405.44
  5. Step 5: Solve for x
    x = 111,215,329,405.44/381,143.20
  6. Step 6: Final answer
    x = 291,794.08

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