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Finding the Fourth Proportional to 427,340.40, 641,010.60 and 206,156.40

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Solution

The fourth proportional to 427,340.40, 641,010.60 and 206,156.40 is: 309,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,340.40 : 641,010.60 = 206,156.40 : x
  2. Step 2: Convert to fraction form
    427,340.40/641,010.60 = 206,156.40/x
  3. Step 3: Cross multiply
    427,340.40x = 641,010.60 × 206,156.40
  4. Step 4: Simplify right side
    427,340.40x = 132,148,437,657.84
  5. Step 5: Solve for x
    x = 132,148,437,657.84/427,340.40
  6. Step 6: Final answer
    x = 309,234.60

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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.