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Finding the Fourth Proportional to 322,930.40, 484,222.80 and 135,730.40

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Solution

The fourth proportional to 322,930.40, 484,222.80 and 135,730.40 is: 203,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,930.40 : 484,222.80 = 135,730.40 : x
  2. Step 2: Convert to fraction form
    322,930.40/484,222.80 = 135,730.40/x
  3. Step 3: Cross multiply
    322,930.40x = 484,222.80 × 135,730.40
  4. Step 4: Simplify right side
    322,930.40x = 65,723,754,333.12
  5. Step 5: Solve for x
    x = 65,723,754,333.12/322,930.40
  6. Step 6: Final answer
    x = 203,522.97

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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.