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Finding the Fourth Proportional to 384,093.80, 576,140.70 and 347,352.20

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Solution

The fourth proportional to 384,093.80, 576,140.70 and 347,352.20 is: 521,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093.80 : 576,140.70 = 347,352.20 : x
  2. Step 2: Convert to fraction form
    384,093.80/576,140.70 = 347,352.20/x
  3. Step 3: Cross multiply
    384,093.80x = 576,140.70 × 347,352.20
  4. Step 4: Simplify right side
    384,093.80x = 200,123,739,654.54
  5. Step 5: Solve for x
    x = 200,123,739,654.54/384,093.80
  6. Step 6: Final answer
    x = 521,028.30

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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.