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Finding the Fourth Proportional to 427,735.80, 640,221.30 and 333,732.60

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Solution

The fourth proportional to 427,735.80, 640,221.30 and 333,732.60 is: 499,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,735.80 : 640,221.30 = 333,732.60 : x
  2. Step 2: Convert to fraction form
    427,735.80/640,221.30 = 333,732.60/x
  3. Step 3: Cross multiply
    427,735.80x = 640,221.30 × 333,732.60
  4. Step 4: Simplify right side
    427,735.80x = 213,662,719,024.38
  5. Step 5: Solve for x
    x = 213,662,719,024.38/427,735.80
  6. Step 6: Final answer
    x = 499,520.31

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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.