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Finding the Fourth Proportional to 431,706.80, 647,560.20 and 305,735.60

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Solution

The fourth proportional to 431,706.80, 647,560.20 and 305,735.60 is: 458,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,706.80 : 647,560.20 = 305,735.60 : x
  2. Step 2: Convert to fraction form
    431,706.80/647,560.20 = 305,735.60/x
  3. Step 3: Cross multiply
    431,706.80x = 647,560.20 × 305,735.60
  4. Step 4: Simplify right side
    431,706.80x = 197,982,206,283.12
  5. Step 5: Solve for x
    x = 197,982,206,283.12/431,706.80
  6. Step 6: Final answer
    x = 458,603.40

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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.