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Finding the Fourth Proportional to 218,935.40, 327,711.90 and 212,023.40

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Solution

The fourth proportional to 218,935.40, 327,711.90 and 212,023.40 is: 317,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,935.40 : 327,711.90 = 212,023.40 : x
  2. Step 2: Convert to fraction form
    218,935.40/327,711.90 = 212,023.40/x
  3. Step 3: Cross multiply
    218,935.40x = 327,711.90 × 212,023.40
  4. Step 4: Simplify right side
    218,935.40x = 69,482,591,258.46
  5. Step 5: Solve for x
    x = 69,482,591,258.46/218,935.40
  6. Step 6: Final answer
    x = 317,365.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.