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Finding the Fourth Proportional to 382,195.40, 527,427.06 and 212,439.56

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Solution

The fourth proportional to 382,195.40, 527,427.06 and 212,439.56 is: 293,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,195.40 : 527,427.06 = 212,439.56 : x
  2. Step 2: Convert to fraction form
    382,195.40/527,427.06 = 212,439.56/x
  3. Step 3: Cross multiply
    382,195.40x = 527,427.06 × 212,439.56
  4. Step 4: Simplify right side
    382,195.40x = 112,046,372,558.49
  5. Step 5: Solve for x
    x = 112,046,372,558.49/382,195.40
  6. Step 6: Final answer
    x = 293,165.15

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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.