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Finding the Fourth Proportional to 382,596.56, 527,921.16 and 212,826.32

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Solution

The fourth proportional to 382,596.56, 527,921.16 and 212,826.32 is: 293,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,596.56 : 527,921.16 = 212,826.32 : x
  2. Step 2: Convert to fraction form
    382,596.56/527,921.16 = 212,826.32/x
  3. Step 3: Cross multiply
    382,596.56x = 527,921.16 × 212,826.32
  4. Step 4: Simplify right side
    382,596.56x = 112,355,517,732.93
  5. Step 5: Solve for x
    x = 112,355,517,732.93/382,596.56
  6. Step 6: Final answer
    x = 293,665.78

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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.