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Finding the Fourth Proportional to 218,974.40, 328,461.60 and 205,150.40

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Solution

The fourth proportional to 218,974.40, 328,461.60 and 205,150.40 is: 307,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.40 : 328,461.60 = 205,150.40 : x
  2. Step 2: Convert to fraction form
    218,974.40/328,461.60 = 205,150.40/x
  3. Step 3: Cross multiply
    218,974.40x = 328,461.60 × 205,150.40
  4. Step 4: Simplify right side
    218,974.40x = 67,384,028,624.64
  5. Step 5: Solve for x
    x = 67,384,028,624.64/218,974.40
  6. Step 6: Final answer
    x = 307,725.60

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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.