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Finding the Fourth Proportional to 382,163.32, 527,381.58 and 212,393.80

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Solution

The fourth proportional to 382,163.32, 527,381.58 and 212,393.80 is: 293,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,163.32 : 527,381.58 = 212,393.80 : x
  2. Step 2: Convert to fraction form
    382,163.32/527,381.58 = 212,393.80/x
  3. Step 3: Cross multiply
    382,163.32x = 527,381.58 × 212,393.80
  4. Step 4: Simplify right side
    382,163.32x = 112,012,577,826.20
  5. Step 5: Solve for x
    x = 112,012,577,826.20/382,163.32
  6. Step 6: Final answer
    x = 293,101.33

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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.