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Finding the Fourth Proportional to 382,163.76, 527,380.74 and 212,394.24

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Solution

The fourth proportional to 382,163.76, 527,380.74 and 212,394.24 is: 293,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,163.76 : 527,380.74 = 212,394.24 : x
  2. Step 2: Convert to fraction form
    382,163.76/527,380.74 = 212,394.24/x
  3. Step 3: Cross multiply
    382,163.76x = 527,380.74 × 212,394.24
  4. Step 4: Simplify right side
    382,163.76x = 112,012,631,462.94
  5. Step 5: Solve for x
    x = 112,012,631,462.94/382,163.76
  6. Step 6: Final answer
    x = 293,101.13

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1.5x scale

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.